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131413233014010 = 23251460147033489
BaseRepresentation
bin11101111000010100000111…
…000100101001010011111010
3122020021222112011020211211200
4131320110013010221103322
5114211033300122422020
61143254223354035030
736452202264134343
oct3570240704512372
9566258464224750
10131413233014010
1138966048111832
12128a4921a18a76
1358432a3906b5c
14246461206b0ca
15102d55e336590
hex7785071294fa

131413233014010 has 24 divisors (see below), whose sum is σ = 341674405836660. Its totient is φ = 35043528803712.

The previous prime is 131413233013991. The next prime is 131413233014029. The reversal of 131413233014010 is 10410332314131.

131413233014010 is a `hidden beast` number, since 1 + 3 + 1 + 413 + 233 + 0 + 1 + 4 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (131413233013991) and next prime (131413233014029).

It can be written as a sum of positive squares in 2 ways, for example, as 123528486949569 + 7884746064441 = 11114337^2 + 2807979^2 .

It is a super-2 number, since 2×1314132330140102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730073516655 + ... + 730073516834.

Almost surely, 2131413233014010 is an apocalyptic number.

131413233014010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131413233014010 is an abundant number, since it is smaller than the sum of its proper divisors (210261172822650).

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

131413233014010 is a wasteful number, since it uses less digits than its factorization.

131413233014010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460147033502 (or 1460147033499 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131413233014010 its reverse (10410332314131), we get a palindrome (141823565328141).

The spelling of 131413233014010 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred thirty-three million, fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1460147033489 2920294066978 4380441100467 7300735167445 8760882200934 13141323301401 14601470334890 21902205502335 26282646602802 43804411004670 65706616507005 131413233014010