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131053201002 = 2327280733389
BaseRepresentation
bin111101000001101100…
…0010010011001101010
3110112021022201101210100
41322003120102121222
54121344104413002
6140112140530230
712316422554133
oct1720330223152
9415238641710
10131053201002
115064112a689
1221495550976
13c48714b0a9
1464b3304c8a
15362055311c
hex1e8361266a

131053201002 has 12 divisors (see below), whose sum is σ = 283948602210. Its totient is φ = 43684400328.

The previous prime is 131053200961. The next prime is 131053201009. The reversal of 131053201002 is 200102350131.

131053201002 is a `hidden beast` number, since 1 + 31 + 0 + 532 + 0 + 100 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90636521481 + 40416679521 = 301059^2 + 201039^2 .

It is a super-2 number, since 2×1310532010022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7280733389 = 131053201002 / (1 + 3 + 1 + 0 + 5 + 3 + 2 + 0 + 1 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (131053201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3640366677 + ... + 3640366712.

Almost surely, 2131053201002 is an apocalyptic number.

131053201002 is an abundant number, since it is smaller than the sum of its proper divisors (152895401208).

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

131053201002 is a wasteful number, since it uses less digits than its factorization.

131053201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280733397 (or 7280733394 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 131053201002 its reverse (200102350131), we get a palindrome (331155551133).

The spelling of 131053201002 in words is "one hundred thirty-one billion, fifty-three million, two hundred one thousand, two".

Divisors: 1 2 3 6 9 18 7280733389 14561466778 21842200167 43684400334 65526600501 131053201002