Search a number
-
+
131115505404051 = 3272297314071211
BaseRepresentation
bin11101110011111110110101…
…000111111100100010010011
3122012020112001000020012012200
4131303332311013330202103
5114141144023340412201
61142505344234054243
736421532311200600
oct3563766507744223
9565215030205180
10131115505404051
1138860856698833
121285709157a383
1358211a680424c
14245404aa4b6a7
1510259363e3386
hex773fb51fc893

131115505404051 has 18 divisors (see below), whose sum is σ = 220309726768092. Its totient is φ = 74923145944920.

The previous prime is 131115505404049. The next prime is 131115505404083. The reversal of 131115505404051 is 150404505511131.

131115505404051 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 550 + 54 + 0 + 4 + 0 + 51 = 666.

It is not a de Polignac number, because 131115505404051 - 21 = 131115505404049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131115505403997 and 131115505404015.

It is not an unprimeable number, because it can be changed into a prime (131115505408051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148657035165 + ... + 148657036046.

It is an arithmetic number, because the mean of its divisors is an integer number (12239429264894).

Almost surely, 2131115505404051 is an apocalyptic number.

131115505404051 is a deficient number, since it is larger than the sum of its proper divisors (89194221364041).

131115505404051 is a wasteful number, since it uses less digits than its factorization.

131115505404051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297314071231 (or 297314071221 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 131115505404051 in words is "one hundred thirty-one trillion, one hundred fifteen billion, five hundred five million, four hundred four thousand, fifty-one".

Divisors: 1 3 7 9 21 49 63 147 441 297314071211 891942213633 2081198498477 2675826640899 6243595495431 14568389489339 18730786486293 43705168468017 131115505404051