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110120000000 = 29572753
BaseRepresentation
bin110011010001110101…
…0011101101000000000
3101112020110012121102112
41212203222131220000
53301011210000000
6122331033434452
710645606361453
oct1464352355000
9345213177375
10110120000000
114277996196a
1219412b6ba28
13a4cc323b1a
1454890dd49a
152ce78ed235
hex19a3a9da00

110120000000 has 160 divisors (see below), whose sum is σ = 275130350352. Its totient is φ = 44032000000.

The previous prime is 110119999993. The next prime is 110120000041. The reversal of 110120000000 is 21011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 80265689344 + 29854310656 = 283312^2 + 172784^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39998624 + ... + 40001376.

Almost surely, 2110120000000 is an apocalyptic number.

110120000000 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 110120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137565175176).

110120000000 is an abundant number, since it is smaller than the sum of its proper divisors (165010350352).

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

110120000000 is an frugal number, since it uses more digits than its factorization.

110120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 110120000000 its reverse (21011), we get a palindrome (110120021011).

The spelling of 110120000000 in words is "one hundred ten 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 2753 3125 3200 4000 5000 5506 6250 6400 8000 10000 11012 12500 12800 13765 15625 16000 20000 22024 25000 27530 31250 32000 40000 44048 50000 55060 62500 64000 68825 78125 80000 88096 100000 110120 125000 137650 156250 160000 176192 200000 220240 250000 275300 312500 320000 344125 352384 400000 440480 500000 550600 625000 688250 704768 800000 880960 1000000 1101200 1250000 1376500 1409536 1600000 1720625 1761920 2000000 2202400 2500000 2753000 3441250 3523840 4000000 4404800 5000000 5506000 6882500 7047680 8000000 8603125 8809600 10000000 11012000 13765000 17206250 17619200 20000000 22024000 27530000 34412500 35238400 40000000 43015625 44048000 55060000 68825000 86031250 88096000 110120000 137650000 172062500 176192000 215078125 220240000 275300000 344125000 430156250 440480000 550600000 688250000 860312500 880960000 1101200000 1376500000 1720625000 2202400000 2753000000 3441250000 4404800000 5506000000 6882500000 11012000000 13765000000 22024000000 27530000000 55060000000 110120000000