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110050120000000 = 29572751253
BaseRepresentation
bin11001000001011100001010…
…010011110110001000000000
3112102122200121002011120210101
4121001130022103312020000
5103411030121210000000
61030020154401212144
732115600364503535
oct3101341223661000
9472580532146711
10110050120000000
1132079aa2814aa4
121041454a631054
1349538b2b680ab
141d2665058ad8c
15cac9c98ace6a
hex64170a4f6200

110050120000000 has 160 divisors (see below), whose sum is σ = 274856019218352. Its totient is φ = 44020032000000.

The previous prime is 110050119999949. The next prime is 110050120000019. The reversal of 110050120000000 is 21050011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 109368425380096 + 681694619904 = 10457936^2 + 825648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1100501200000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38624374 + ... + 41375626.

Almost surely, 2110050120000000 is an apocalyptic number.

110050120000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110050120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137428009609176).

110050120000000 is an abundant number, since it is smaller than the sum of its proper divisors (164805899218352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110050120000000 is an frugal number, since it uses more digits than its factorization.

110050120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751306 (or 2751260 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 110050120000000 its reverse (21050011), we get a palindrome (110050141050011).

The spelling of 110050120000000 in words is "one hundred ten trillion, fifty billion, one hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 78125 80000 100000 125000 156250 160000 200000 250000 312500 320000 400000 500000 625000 800000 1000000 1250000 1600000 2000000 2500000 2751253 4000000 5000000 5502506 8000000 10000000 11005012 13756265 20000000 22010024 27512530 40000000 44020048 55025060 68781325 88040096 110050120 137562650 176080192 220100240 275125300 343906625 352160384 440200480 550250600 687813250 704320768 880400960 1100501200 1375626500 1408641536 1719533125 1760801920 2201002400 2751253000 3439066250 3521603840 4402004800 5502506000 6878132500 7043207680 8597665625 8804009600 11005012000 13756265000 17195331250 17608019200 22010024000 27512530000 34390662500 35216038400 42988328125 44020048000 55025060000 68781325000 85976656250 88040096000 110050120000 137562650000 171953312500 176080192000 214941640625 220100240000 275125300000 343906625000 429883281250 440200480000 550250600000 687813250000 859766562500 880400960000 1100501200000 1375626500000 1719533125000 2201002400000 2751253000000 3439066250000 4402004800000 5502506000000 6878132500000 11005012000000 13756265000000 22010024000000 27512530000000 55025060000000 110050120000000