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131020443431241 = 37131493220995733
BaseRepresentation
bin11101110010100110010010…
…111111010011000101001001
3122011220102122222100121210220
4131302212102333103011021
5114133114332004244431
61142353543310100253
736411625504565040
oct3562462277230511
9564812588317726
10131020443431241
1138824504691641
12128407814aa689
1358152370654b0
14244d5cd759557
15102322096cb96
hex772992fd3149

131020443431241 has 32 divisors (see below), whose sum is σ = 216450913324800. Its totient is φ = 68645861040384.

The previous prime is 131020443431231. The next prime is 131020443431243. The reversal of 131020443431241 is 142134344020131.

It is a happy number.

It is not a de Polignac number, because 131020443431241 - 211 = 131020443429193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131020443431243) 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, 1610457190 + ... + 1610538543.

It is an arithmetic number, because the mean of its divisors is an integer number (6764091041400).

Almost surely, 2131020443431241 is an apocalyptic number.

It is an amenable number.

131020443431241 is a deficient number, since it is larger than the sum of its proper divisors (85430469893559).

131020443431241 is a wasteful number, since it uses less digits than its factorization.

131020443431241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220995905.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131020443431241 its reverse (142134344020131), we get a palindrome (273154787451372).

The spelling of 131020443431241 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-three million, four hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 39 91 149 273 447 1043 1937 3129 5811 13559 40677 3220995733 9662987199 22546970131 41872944529 67640910393 125618833587 293110611703 479928364217 879331835109 1439785092651 3359498549519 6239068734821 10078495648557 18717206204463 43673481143747 131020443431241