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131020431401041 = 71311315438257589
BaseRepresentation
bin11101110010100110010010…
…010001011010000001010001
3122011220102122010201102110221
4131302212102101122001101
5114133114320414313131
61142353542200153041
736411625300411420
oct3562462221320121
9564812563642427
10131020431401041
11388244a8915126
1212840779468781
135815234712830
14244d5cbd072b7
15102321e893411
hex77299245a051

131020431401041 has 32 divisors (see below), whose sum is σ = 162788411681280. Its totient is φ = 102680530412544.

The previous prime is 131020431401039. The next prime is 131020431401059. The reversal of 131020431401041 is 140104134020131.

It is not a de Polignac number, because 131020431401041 - 21 = 131020431401039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131020431400997 and 131020431401015.

It is not an unprimeable number, because it can be changed into a prime (131020431401441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11737875 + ... + 19995463.

It is an arithmetic number, because the mean of its divisors is an integer number (5087137865040).

Almost surely, 2131020431401041 is an apocalyptic number.

It is an amenable number.

131020431401041 is a deficient number, since it is larger than the sum of its proper divisors (31767980280239).

131020431401041 is a wasteful number, since it uses less digits than its factorization.

131020431401041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259265.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131020431401041 its reverse (140104134020131), we get a palindrome (271124565421172).

The spelling of 131020431401041 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty-one million, four hundred one thousand, forty-one".

Divisors: 1 7 13 91 113 791 1469 1543 10283 10801 20059 140413 174359 1220513 2266667 8257589 15866669 57803123 107348657 751440599 933107557 6531752899 12130398241 12741459827 84912787687 89190218789 165638977751 1159472844257 1439784960451 10078494723157 18717204485863 131020431401041