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110122120120 = 235109154316369
BaseRepresentation
bin110011010001111001…
…0100011001110111000
3101112020121012022200111
41212203302203032320
53301012230320440
6122331151114104
710645633401535
oct1464362431670
9345217168614
10110122120120
114278007a831
1219413812934
13a4cc8b6b2c
1454894d1d8c
152ce7bbb4ea
hex19a3ca33b8

110122120120 has 64 divisors (see below), whose sum is σ = 250225272000. Its totient is φ = 43613779968.

The previous prime is 110122120117. The next prime is 110122120169. The reversal of 110122120120 is 21021221011.

It is a self number, because there is not a number n which added to its sum of digits gives 110122120120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6719296 + ... + 6735664.

It is an arithmetic number, because the mean of its divisors is an integer number (3909769875).

Almost surely, 2110122120120 is an apocalyptic number.

110122120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122120120 is an abundant number, since it is smaller than the sum of its proper divisors (140103151880).

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

110122120120 is a wasteful number, since it uses less digits than its factorization.

110122120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110122120120 its reverse (21021221011), we get a palindrome (131143341131).

The spelling of 110122120120 in words is "one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 1543 2180 3086 4360 6172 7715 12344 15430 16369 30860 32738 61720 65476 81845 130952 163690 168187 327380 336374 654760 672748 840935 1345496 1681870 1784221 3363740 3568442 6727480 7136884 8921105 14273768 17842210 25257367 35684420 50514734 71368840 101029468 126286835 202058936 252573670 505147340 1010294680 2753053003 5506106006 11012212012 13765265015 22024424024 27530530030 55061060060 110122120120