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131403323402253 = 33722327749131751
BaseRepresentation
bin11101111000001010111000…
…011010011110100000001101
3122020021000221112120102002000
4131320022320122132200031
5114210403001242333003
61143245504200422513
736451401564623100
oct3570127032364015
9566230845512060
10131403323402253
1138961922423851
12128a2a17177a39
135842384876266
142463d51d16737
15102d17e3801a3
hex7782b869e80d

131403323402253 has 192 divisors, whose sum is σ = 237644120125440. Its totient is φ = 71415645840000.

The previous prime is 131403323402189. The next prime is 131403323402257. The reversal of 131403323402253 is 352204323304131.

131403323402253 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 3 + 323 + 40 + 2 + 253 = 666.

It is not a de Polignac number, because 131403323402253 - 26 = 131403323402189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403323402257) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4138541128 + ... + 4138572878.

It is an arithmetic number, because the mean of its divisors is an integer number (1237729792320).

Almost surely, 2131403323402253 is an apocalyptic number.

It is an amenable number.

131403323402253 is a deficient number, since it is larger than the sum of its proper divisors (106240796723187).

131403323402253 is a wasteful number, since it uses less digits than its factorization.

131403323402253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32565 (or 32552 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 131403323402253 its reverse (352204323304131), we get a palindrome (483607646706384).

The spelling of 131403323402253 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred twenty-three million, four hundred two thousand, two hundred fifty-three".