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131020432441340 = 22513503924740159
BaseRepresentation
bin11101110010100110010010…
…010101010111111111111100
3122011220102122012200021111112
4131302212102111113333330
5114133114321201110330
61142353542234341152
736411625312303361
oct3562462225277774
9564812565607445
10131020432441340
11388244a9465782
121284077988a7b8
1358152349b81b0
14244d5cc0d8468
15102321e9eb795
hex772992557ffc

131020432441340 has 24 divisors (see below), whose sum is σ = 296307747214080. Its totient is φ = 48376775055168.

The previous prime is 131020432441331. The next prime is 131020432441351. The reversal of 131020432441340 is 43144234020131.

It is a super-2 number, since 2×1310204324413402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131020432441297 and 131020432441306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251962369820 + ... + 251962370339.

It is an arithmetic number, because the mean of its divisors is an integer number (12346156133920).

Almost surely, 2131020432441340 is an apocalyptic number.

131020432441340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020432441340 is an abundant number, since it is smaller than the sum of its proper divisors (165287314772740).

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

131020432441340 is a wasteful number, since it uses less digits than its factorization.

131020432441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503924740181 (or 503924740179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131020432441340 its reverse (43144234020131), we get a palindrome (174164666461471).

The spelling of 131020432441340 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty-two million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 503924740159 1007849480318 2015698960636 2519623700795 5039247401590 6551021622067 10078494803180 13102043244134 26204086488268 32755108110335 65510216220670 131020432441340