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116031311032 = 237131073134759
BaseRepresentation
bin110110000010000000…
…0010100110010111000
3102002111102101022201011
41230010000110302320
53400113003423112
6125145401403304
711245235604430
oct1540400246270
9362442338634
10116031311032
114523271738a
121a5a2799534
13ac31c095c0
14588a2232c0
153041867aa7
hex1b04014cb8

116031311032 has 128 divisors (see below), whose sum is σ = 271187481600. Its totient is φ = 45318693888.

The previous prime is 116031311017. The next prime is 116031311059. The reversal of 116031311032 is 230113130611.

It is a junction number, because it is equal to n+sod(n) for n = 116031310994 and 116031311012.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24379069 + ... + 24383827.

It is an arithmetic number, because the mean of its divisors is an integer number (2118652200).

Almost surely, 2116031311032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116031311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135593740800).

116031311032 is an abundant number, since it is smaller than the sum of its proper divisors (155156170568).

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

116031311032 is a wasteful number, since it uses less digits than its factorization.

116031311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 116031311032 its reverse (230113130611), we get a palindrome (346144441643).

The spelling of 116031311032 in words is "one hundred sixteen billion, thirty-one million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 107 182 214 313 364 428 626 728 749 856 1252 1391 1498 2191 2504 2782 2996 4069 4382 4759 5564 5992 8138 8764 9518 9737 11128 16276 17528 19036 19474 28483 32552 33313 33491 38072 38948 56966 61867 66626 66982 77896 113932 123734 133252 133964 227864 234437 247468 266504 267928 433069 435383 468874 494936 509213 866138 870766 937748 1018426 1489567 1732276 1741532 1875496 2036852 2979134 3047681 3464552 3483064 3564491 4073704 5958268 6095362 6619769 7128982 10426969 11916536 12190724 13239538 14257964 19364371 20853938 24381448 26479076 28515928 38728742 41707876 46338383 52958152 77457484 83415752 92676766 135550597 154914968 159383669 185353532 271101194 318767338 370707064 542202388 637534676 1084404776 1115685683 1275069352 2071987697 2231371366 4143975394 4462742732 8287950788 8925485464 14503913879 16575901576 29007827758 58015655516 116031311032