Search a number
-
+
131153415230412 = 22327359384158803
BaseRepresentation
bin11101110100100010001000…
…101110011101001111001100
3122012101010220000020220111200
4131310202020232131033030
5114142304143244333122
61142535014105145500
736424343615331651
oct3564421056351714
9565333800226450
10131153415230412
113887593a80a443
12128624b148b290
135824938829473
142455c057a9c28
1510269046545ac
hex774888b9d3cc

131153415230412 has 72 divisors (see below), whose sum is σ = 336634879364784. Its totient is φ = 43046217317376.

The previous prime is 131153415230393. The next prime is 131153415230413. The reversal of 131153415230412 is 214032514351131.

131153415230412 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 3 + 4 + 1 + 5 + 230 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131153415230413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40520998 + ... + 43637805.

It is an arithmetic number, because the mean of its divisors is an integer number (4675484435622).

Almost surely, 2131153415230412 is an apocalyptic number.

131153415230412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131153415230412 is an abundant number, since it is smaller than the sum of its proper divisors (205481464134372).

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

131153415230412 is a wasteful number, since it uses less digits than its factorization.

131153415230412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84159479 (or 84159474 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 131153415230412 its reverse (214032514351131), we get a palindrome (345185929581543).

The spelling of 131153415230412 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, four hundred fifteen million, two hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 593 657 876 1186 1314 1779 2372 2628 3558 5337 7116 10674 21348 43289 86578 129867 173156 259734 389601 519468 779202 1558404 84158803 168317606 252476409 336635212 504952818 757429227 1009905636 1514858454 3029716908 6143592619 12287185238 18430777857 24574370476 36861555714 49906170179 55292333571 73723111428 99812340358 110584667142 149718510537 199624680716 221169334284 299437021074 449155531611 598874042148 898311063222 1796622126444 3643150423067 7286300846134 10929451269201 14572601692268 21858902538402 32788353807603 43717805076804 65576707615206 131153415230412