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112361345317 = 13171074751611
BaseRepresentation
bin110100010100101000…
…0100001000100100101
3101202000122200202012001
41220221100201010211
53320104001022232
6123341301325301
711055263451064
oct1505120410445
9352018622161
10112361345317
114371a060871
1219939706831
13a7987a0460
14561ca601db
152dc95856e7
hex1a29421125

112361345317 has 16 divisors (see below), whose sum is σ = 129319872192. Its totient is φ = 96704766720.

The previous prime is 112361345293. The next prime is 112361345333. The reversal of 112361345317 is 713543163211.

It is a cyclic number.

It is not a de Polignac number, because 112361345317 - 215 = 112361312549 is a prime.

It is a super-2 number, since 2×1123613453172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112361345387) by changing a digit.

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, 2352159 + ... + 2399452.

It is an arithmetic number, because the mean of its divisors is an integer number (8082492012).

Almost surely, 2112361345317 is an apocalyptic number.

112361345317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

112361345317 is a deficient number, since it is larger than the sum of its proper divisors (16958526875).

112361345317 is a wasteful number, since it uses less digits than its factorization.

112361345317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751748.

The product of its digits is 45360, while the sum is 37.

The spelling of 112361345317 in words is "one hundred twelve billion, three hundred sixty-one million, three hundred forty-five thousand, three hundred seventeen".

Divisors: 1 13 17 107 221 1391 1819 23647 4751611 61770943 80777387 508422377 1050106031 6609490901 8643180409 112361345317