Search a number
-
+
131012221402091 = 1672767775936541
BaseRepresentation
bin11101110010011110101000…
…111010101111101111101011
3122011212122102222011021011202
4131302132220322233233223
5114133001012134331331
61142350103355314415
736411214656520421
oct3562365072575753
9564778388137152
10131012221402091
1138820a75555427
121283b067a4ba0b
1358145268241a3
14244d04d7b7111
151022dddc15ecb
hex7727a8eafbeb

131012221402091 has 16 divisors (see below), whose sum is σ = 131864958382080. Its totient is φ = 130160312341920.

The previous prime is 131012221402079. The next prime is 131012221402177. The reversal of 131012221402091 is 190204122210131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131012221402091 is a prime.

It is a super-2 number, since 2×1310122214020912 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131012221402691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3585330281 + ... + 3585366821.

It is an arithmetic number, because the mean of its divisors is an integer number (8241559898880).

Almost surely, 2131012221402091 is an apocalyptic number.

131012221402091 is a deficient number, since it is larger than the sum of its proper divisors (852736979989).

131012221402091 is a wasteful number, since it uses less digits than its factorization.

131012221402091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47234.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 131012221402091 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-one million, four hundred two thousand, ninety-one".

Divisors: 1 167 2767 7759 36541 462089 1295753 6102347 21469153 101108947 283521619 3585348551 16885194149 47348110373 784504319773 131012221402091