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112431062667 = 37211137507523
BaseRepresentation
bin110100010110101101…
…0011101111010001011
3101202012111212202102010
41220231122131322023
53320224323001132
6123352231511003
711060101156500
oct1505532357213
9352174782363
10112431062667
1143755449510
1219958b28463
13a7aa070421
14562800b4a7
152dd07576cc
hex1a2d69de8b

112431062667 has 48 divisors (see below), whose sum is σ = 191624821632. Its totient is φ = 57979313280.

The previous prime is 112431062617. The next prime is 112431062671. The reversal of 112431062667 is 766260134211.

It is a happy number.

It is not a de Polignac number, because 112431062667 - 211 = 112431060619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112431062617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32233 + ... + 475290.

It is an arithmetic number, because the mean of its divisors is an integer number (3992183784).

Almost surely, 2112431062667 is an apocalyptic number.

112431062667 is a deficient number, since it is larger than the sum of its proper divisors (79193758965).

112431062667 is a wasteful number, since it uses less digits than its factorization.

112431062667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507688 (or 507681 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 112431062667 its reverse (766260134211), we get a palindrome (878691196878).

The spelling of 112431062667 in words is "one hundred twelve billion, four hundred thirty-one million, sixty-two thousand, six hundred sixty-seven".

Divisors: 1 3 7 11 21 33 49 77 137 147 231 411 539 959 1507 1617 2877 4521 6713 10549 20139 31647 73843 221529 507523 1522569 3552661 5582753 10657983 16748259 24868627 39079271 69530651 74605881 117237813 208591953 273554897 486714557 764837161 820664691 1460143671 2294511483 3407001899 5353860127 10221005697 16061580381 37477020889 112431062667