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112406623131 = 31131671639991
BaseRepresentation
bin110100010101111110…
…1001111001110011011
3101202010210220002200010
41220223331033032123
53320202043420011
6123350000013003
711056353350265
oct1505375171633
9352123802603
10112406623131
1143742676750
1219950901163
13a7a4c9436a
145624a88b35
152dcd52b1a6
hex1a2bf4f39b

112406623131 has 32 divisors (see below), whose sum is σ = 171293884416. Its totient is φ = 64943604000.

The previous prime is 112406623129. The next prime is 112406623139. The reversal of 112406623131 is 131326604211.

It is not a de Polignac number, because 112406623131 - 21 = 112406623129 is a prime.

It is a super-2 number, since 2×1124066231312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112406623139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751455 + ... + 888536.

It is an arithmetic number, because the mean of its divisors is an integer number (5352933888).

Almost surely, 2112406623131 is an apocalyptic number.

112406623131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112406623131 is a deficient number, since it is larger than the sum of its proper divisors (58887261285).

112406623131 is a wasteful number, since it uses less digits than its factorization.

112406623131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640103.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 112406 and 623131, that added together give a palindrome (735537).

The spelling of 112406623131 in words is "one hundred twelve billion, four hundred six million, six hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 31 33 67 93 201 341 737 1023 2077 2211 6231 22847 68541 1639991 4919973 18039901 50839721 54119703 109879397 152519163 329638191 559236931 1208673367 1677710793 3406261307 3626020101 10218783921 37468874377 112406623131