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131324135112 = 2333809751523
BaseRepresentation
bin111101001001110000…
…1110100011011001000
3110112222012112021112000
41322103201310123020
54122422434310422
6140155055551000
712326222505402
oct1722341643310
9415865467460
10131324135112
1150770061475
122155022b460
13c4cb310131
1464db2adb72
15363921ecac
hex1e938746c8

131324135112 has 64 divisors (see below), whose sum is σ = 365240664000. Its totient is φ = 43720543872.

The previous prime is 131324135081. The next prime is 131324135119. The reversal of 131324135112 is 211531423131.

131324135112 is a `hidden beast` number, since 1 + 3 + 132 + 4 + 13 + 511 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131324135119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201018 + ... + 550505.

It is an arithmetic number, because the mean of its divisors is an integer number (5706885375).

Almost surely, 2131324135112 is an apocalyptic number.

131324135112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131324135112 is an abundant number, since it is smaller than the sum of its proper divisors (233916528888).

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

131324135112 is a wasteful number, since it uses less digits than its factorization.

131324135112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752347 (or 752337 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 131324135112 its reverse (211531423131), we get a palindrome (342855558243).

The spelling of 131324135112 in words is "one hundred thirty-one billion, three hundred twenty-four million, one hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 809 1618 2427 3236 4854 6472 7281 9708 14562 19416 21843 29124 43686 58248 87372 174744 751523 1503046 2254569 3006092 4509138 6012184 6763707 9018276 13527414 18036552 20291121 27054828 40582242 54109656 81164484 162328968 607982107 1215964214 1823946321 2431928428 3647892642 4863856856 5471838963 7295785284 10943677926 14591570568 16415516889 21887355852 32831033778 43774711704 65662067556 131324135112