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131022345324101 = 7114339571834891
BaseRepresentation
bin11101110010101000000100…
…010110011100011001000101
3122011220121120112002210100012
4131302220010112130121011
5114133132230400332401
61142354500130200005
736412023600450140
oct3562500426343105
9564817515083305
10131022345324101
11388252a020a920
1212841012423005
13581547b0ac79a
14244d730197057
1510232d29018bb
hex772a0459c645

131022345324101 has 16 divisors (see below), whose sum is σ = 167151430583808. Its totient is φ = 99721023922800.

The previous prime is 131022345324097. The next prime is 131022345324109. The reversal of 131022345324101 is 101423543220131.

It is a happy number.

It is not a de Polignac number, because 131022345324101 - 22 = 131022345324097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022345324109) 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, 19785914135 + ... + 19785920756.

It is an arithmetic number, because the mean of its divisors is an integer number (10446964411488).

Almost surely, 2131022345324101 is an apocalyptic number.

131022345324101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131022345324101 is a deficient number, since it is larger than the sum of its proper divisors (36129085259707).

131022345324101 is a wasteful number, since it uses less digits than its factorization.

131022345324101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39571834952.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 131022345324101 its reverse (101423543220131), we get a palindrome (232445888544232).

The spelling of 131022345324101 in words is "one hundred thirty-one trillion, twenty-two billion, three hundred forty-five million, three hundred twenty-four thousand, one hundred one".

Divisors: 1 7 11 43 77 301 473 3311 39571834891 277002844237 435290183801 1701588900313 3047031286607 11911122302191 18717477903443 131022345324101