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131022431303301 = 336617341426083
BaseRepresentation
bin11101110010101000001001…
…011110011011011010000101
3122011220121210111212222122000
4131302220021132123122011
5114133132414403201201
61142354512441055513
736412025663325306
oct3562501136333205
9564817714788560
10131022431303301
11388253347a530a
1212841037187599
135815492b54555
14244d73b7787ad
1510232da236d86
hex772a0979b685

131022431303301 has 16 divisors (see below), whose sum is σ = 194400962704320. Its totient is φ = 87216141854160.

The previous prime is 131022431303279. The next prime is 131022431303321. The reversal of 131022431303301 is 103303134220131.

131022431303301 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 24 + 31 + 303 + 301 = 666.

It is not a de Polignac number, because 131022431303301 - 26 = 131022431303237 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022431303321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670695195 + ... + 3670730888.

It is an arithmetic number, because the mean of its divisors is an integer number (12150060169020).

Almost surely, 2131022431303301 is an apocalyptic number.

It is an amenable number.

131022431303301 is a deficient number, since it is larger than the sum of its proper divisors (63378531401019).

131022431303301 is an equidigital number, since it uses as much as digits as its factorization.

131022431303301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7341426753 (or 7341426747 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131022431303301 its reverse (103303134220131), we get a palindrome (234325565523432).

The spelling of 131022431303301 in words is "one hundred thirty-one trillion, twenty-two billion, four hundred thirty-one million, three hundred three thousand, three hundred one".

Divisors: 1 3 9 27 661 1983 5949 17847 7341426083 22024278249 66072834747 198218504241 4852682640863 14558047922589 43674143767767 131022431303301