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110020021221120 = 2835211113572263
BaseRepresentation
bin11001000001000000001000…
…010010000111011100000000
3112102112210220110000012021020
4121001000020102013130000
5103410032000413033440
61025554300000025440
732113453455216603
oct3101001022073400
9472483813005236
10110020021221120
1132068257843a2a
121040a74a602280
134950ac719926a
141d24dd6d8c33a
15cabd172713d0
hex641008487700

110020021221120 has 144 divisors (see below), whose sum is σ = 351542918909952. Its totient is φ = 29324772167680.

The previous prime is 110020021221113. The next prime is 110020021221137. The reversal of 110020021221120 is 21122120020011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110020021221120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320109 + ... + 14892371.

It is an arithmetic number, because the mean of its divisors is an integer number (2441270270208).

Almost surely, 2110020021221120 is an apocalyptic number.

110020021221120 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 110020021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175771459454976).

110020021221120 is an abundant number, since it is smaller than the sum of its proper divisors (241522897688832).

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

110020021221120 is a wasteful number, since it uses less digits than its factorization.

110020021221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13574398 (or 13574384 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110020021221120 its reverse (21122120020011), we get a palindrome (131142141241131).

The spelling of 110020021221120 in words is "one hundred ten trillion, twenty billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2111 3840 4222 6333 8444 10555 12666 16888 21110 25332 31665 33776 42220 50664 63330 67552 84440 101328 126660 135104 168880 202656 253320 270208 337760 405312 506640 540416 675520 810624 1013280 1351040 1621248 2026560 2702080 4053120 8106240 13572263 27144526 40716789 54289052 67861315 81433578 108578104 135722630 162867156 203583945 217156208 271445260 325734312 407167890 434312416 542890520 651468624 814335780 868624832 1085781040 1302937248 1628671560 1737249664 2171562080 2605874496 3257343120 3474499328 4343124160 5211748992 6514686240 8686248320 10423497984 13029372480 17372496640 26058744960 28651047193 52117489920 57302094386 85953141579 114604188772 143255235965 171906283158 229208377544 286510471930 343812566316 429765707895 458416755088 573020943860 687625132632 859531415790 916833510176 1146041887720 1375250265264 1719062831580 1833667020352 2292083775440 2750500530528 3438125663160 3667334040704 4584167550880 5501001061056 6876251326320 7334668081408 9168335101760 11002002122112 13752502652640 18336670203520 22004004244224 27505005305280 36673340407040 55010010610560 110020021221120