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112340204031 = 311232931116411
BaseRepresentation
bin110100010011111111…
…1110111100111111111
3101201222011220122210110
41220213333313213333
53320033043012111
6123335224241103
711054615656506
oct1504777674777
9351864818713
10112340204031
1143709131030
1219932610193
13a7942aa713
145619d1983d
152dc77ab5a6
hex1a27ff79ff

112340204031 has 64 divisors (see below), whose sum is σ = 176966000640. Its totient is φ = 62673072000.

The previous prime is 112340204027. The next prime is 112340204101. The reversal of 112340204031 is 130402043211.

It is not a de Polignac number, because 112340204031 - 22 = 112340204027 is a prime.

It is a super-2 number, since 2×1123402040312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112340203989 and 112340204007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112340204131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6837216 + ... + 6853626.

It is an arithmetic number, because the mean of its divisors is an integer number (2765093760).

Almost surely, 2112340204031 is an apocalyptic number.

112340204031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112340204031 is a deficient number, since it is larger than the sum of its proper divisors (64625796609).

112340204031 is a wasteful number, since it uses less digits than its factorization.

112340204031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16788.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112340204031 its reverse (130402043211), we get a palindrome (242742247242).

The spelling of 112340204031 in words is "one hundred twelve billion, three hundred forty million, two hundred four thousand, thirty-one".

Divisors: 1 3 11 23 29 33 69 87 253 311 319 667 759 933 957 2001 3421 7153 7337 9019 10263 16411 21459 22011 27057 49233 78683 99209 180521 207437 236049 297627 377453 475919 541563 622311 1132359 1427757 2281807 4151983 5103821 5235109 6845421 10946137 12455949 15311463 15705327 32838411 56142031 117387883 120407507 148010809 168426093 352163649 361222521 444032427 1291266713 1628118899 3404248607 3873800139 4884356697 10212745821 37446734677 112340204031