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131020431322203 = 353575315080657
BaseRepresentation
bin11101110010100110010010…
…010001000110110001011011
3122011220102122010120102100000
4131302212102101012301123
5114133114320404302303
61142353542154344043
736411625266632523
oct3562462221066133
9564812563512300
10131020431322203
11388244a8870975
121284077942b023
1358152346b5997
14244d5cbcc6683
15102321e879da3
hex772992446c5b

131020431322203 has 24 divisors (see below), whose sum is σ = 196266559992048. Its totient is φ = 87344505356544.

The previous prime is 131020431322133. The next prime is 131020431322217. The reversal of 131020431322203 is 302223134020131.

131020431322203 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 0 + 431 + 3 + 2 + 220 + 3 = 666.

It is not a de Polignac number, because 131020431322203 - 216 = 131020431256667 is a prime.

It is a super-2 number, since 2×1310204313222032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131020431321203) 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 23 ways as a sum of consecutive naturals, for example, 1147651 + ... + 16228307.

It is an arithmetic number, because the mean of its divisors is an integer number (8177773333002).

Almost surely, 2131020431322203 is an apocalyptic number.

131020431322203 is a deficient number, since it is larger than the sum of its proper divisors (65246128669845).

131020431322203 is an equidigital number, since it uses as much as digits as its factorization.

131020431322203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15116425 (or 15116413 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131020431322203 its reverse (302223134020131), we get a palindrome (433243565342334).

The spelling of 131020431322203 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty-one million, three hundred twenty-two thousand, two hundred three".

Divisors: 1 3 9 27 81 243 35753 107259 321777 965331 2895993 8687979 15080657 45241971 135725913 407177739 1221533217 3664599651 539178729721 1617536189163 4852608567489 14557825702467 43673477107401 131020431322203