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112120121303022 = 23722719437149119
BaseRepresentation
bin11001011111100100000000…
…000000001001111111101110
3112200222120122000211002001010
4121133210000000021333232
5104143434002023144042
61034243134521130050
732421261061326300
oct3137440000117756
9480876560732033
10112120121303022
11327a7970567928
12106a9769929926
134a73b60bb1c11
141d988ddcb1970
15ce677d15759c
hex65f900009fee

112120121303022 has 96 divisors (see below), whose sum is σ = 261842943098880. Its totient is φ = 31912516520640.

The previous prime is 112120121303011. The next prime is 112120121303051. The reversal of 112120121303022 is 220303121021211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 112120121303022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751808979 + ... + 751958097.

It is an arithmetic number, because the mean of its divisors is an integer number (2727530657280).

Almost surely, 2112120121303022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120121303022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130921471549440).

112120121303022 is an abundant number, since it is smaller than the sum of its proper divisors (149722821795858).

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

112120121303022 is a wasteful number, since it uses less digits than its factorization.

112120121303022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158846 (or 158839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 112120121303022 its reverse (220303121021211), we get a palindrome (332423242324233).

The spelling of 112120121303022 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twenty-one million, three hundred three thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 271 294 542 813 1626 1897 3794 5691 9437 11382 13279 18874 26558 28311 39837 56622 66059 79674 132118 149119 198177 298238 396354 447357 462413 894714 924826 1043833 1387239 2087666 2557427 2774478 3131499 5114854 6262998 7306831 7672281 14613662 15344562 17901989 21920493 35803978 40411249 43840986 53705967 80822498 107411934 121233747 125313923 242467494 250627846 282878743 375941769 565757486 751883538 848636229 1407236003 1697272458 1980151201 2814472006 3960302402 4221708009 5940453603 8443416018 9850652021 11880907206 19701304042 29551956063 59103912126 68954564147 137909128294 206863692441 381360956813 413727384882 762721913626 1144082870439 2288165740878 2669526697691 5339053395382 8008580093073 16017160186146 18686686883837 37373373767674 56060060651511 112120121303022