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130023032112 = 2433421971339
BaseRepresentation
bin111100100010111111…
…0100000010100110000
3110102121112021101202000
41321011332200110300
54112241344011422
6135422020454000
712252043352241
oct1710576402460
9412545241660
10130023032112
1150162680536
122124854a300
13c3518aa0bc
146416582cc8
1535aedb2cac
hex1e45fa0530

130023032112 has 80 divisors (see below), whose sum is σ = 373307952000. Its totient is φ = 43330130496.

The previous prime is 130023032089. The next prime is 130023032119. The reversal of 130023032112 is 211230320031.

130023032112 is a `hidden beast` number, since 1 + 300 + 2 + 30 + 321 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130023032119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786939 + ... + 1858277.

It is an arithmetic number, because the mean of its divisors is an integer number (4666349400).

Almost surely, 2130023032112 is an apocalyptic number.

130023032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130023032112 is an abundant number, since it is smaller than the sum of its proper divisors (243284919888).

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

130023032112 is a wasteful number, since it uses less digits than its factorization.

130023032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75575 (or 75563 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130023032112 its reverse (211230320031), we get a palindrome (341253352143).

The spelling of 130023032112 in words is "one hundred thirty billion, twenty-three million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4219 8438 12657 16876 25314 33752 37971 50628 67504 71339 75942 101256 113913 142678 151884 202512 214017 227826 285356 303768 428034 455652 570712 607536 642051 856068 911304 1141424 1284102 1712136 1822608 1926153 2568204 3424272 3852306 5136408 7704612 10272816 15409224 30818448 300979241 601958482 902937723 1203916964 1805875446 2407833928 2708813169 3611750892 4815667856 5417626338 7223501784 8126439507 10835252676 14447003568 16252879014 21670505352 32505758028 43341010704 65011516056 130023032112