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112517234020 = 2256110129041
BaseRepresentation
bin110100011001010001…
…1001011110101100100
3101202102112000201021201
41220302203023311210
53320413402442040
6123404550452244
711062165465102
oct1506243136544
9352375021251
10112517234020
114379a055304
1219981964084
13a7c1b817a9
14563563cc72
152dd80c9a9a
hex1a328cbd64

112517234020 has 72 divisors (see below), whose sum is σ = 242587926504. Its totient is φ = 43825920000.

The previous prime is 112517233999. The next prime is 112517234033. The reversal of 112517234020 is 20432715211.

It can be written as a sum of positive squares in 12 ways, for example, as 3257898084 + 109259335936 = 57078^2 + 330544^2 .

It is a super-2 number, since 2×1125172340202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112517234020.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12440700 + ... + 12449740.

It is an arithmetic number, because the mean of its divisors is an integer number (3369276757).

Almost surely, 2112517234020 is an apocalyptic number.

112517234020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112517234020 is an abundant number, since it is smaller than the sum of its proper divisors (130070692484).

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

112517234020 is a wasteful number, since it uses less digits than its factorization.

112517234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9313 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 112517234020 its reverse (20432715211), we get a palindrome (132949949231).

The spelling of 112517234020 in words is "one hundred twelve billion, five hundred seventeen million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 61 101 122 202 244 305 404 505 610 1010 1220 2020 6161 9041 10201 12322 18082 20402 24644 30805 36164 40804 45205 51005 61610 90410 102010 123220 180820 204020 551501 622261 913141 1103002 1244522 1826282 2206004 2489044 2757505 3111305 3652564 4565705 5515010 6222610 9131410 11030020 12445220 18262820 55701601 92227241 111403202 184454482 222806404 278508005 368908964 461136205 557016010 922272410 1114032020 1844544820 5625861701 11251723402 22503446804 28129308505 56258617010 112517234020