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131376444201 = 3252128018009
BaseRepresentation
bin111101001011010100…
…1010111001100101001
3110120002211221212002200
41322112221113030221
54123024332203301
6140204205050413
712330426231132
oct1722651271451
9416084855080
10131376444201
115079763a022
1221565856a09
13c5090c6562
146504208c89
15363db03c86
hex1e96a57329

131376444201 has 12 divisors (see below), whose sum is σ = 190130215860. Its totient is φ = 87416184960.

The previous prime is 131376444181. The next prime is 131376444253. The reversal of 131376444201 is 102444673131.

131376444201 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 6 + 444 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21076070976 + 110300373225 = 145176^2 + 332115^2 .

It is not a de Polignac number, because 131376444201 - 25 = 131376444169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131376444701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14004316 + ... + 14013693.

It is an arithmetic number, because the mean of its divisors is an integer number (15844184655).

Almost surely, 2131376444201 is an apocalyptic number.

It is an amenable number.

131376444201 is a deficient number, since it is larger than the sum of its proper divisors (58753771659).

131376444201 is a wasteful number, since it uses less digits than its factorization.

131376444201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28018536 (or 28018533 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 131376444201 in words is "one hundred thirty-one billion, three hundred seventy-six million, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 521 1563 4689 28018009 84054027 252162081 14597382689 43792148067 131376444201