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131020441431423 = 31923276920692731
BaseRepresentation
bin11101110010100110010010…
…110111101010110101111111
3122011220102122211121000120120
4131302212102313222311333
5114133114331001301143
61142353543155150023
736411625451565465
oct3562462267526577
9564812584530516
10131020441431423
11388245035460a5
12128407808a5313
13581523681517b
14244d5cd398835
1510232206c5383
hex772992dead7f

131020441431423 has 96 divisors (see below), whose sum is σ = 192644619552000. Its totient is φ = 78981871288320.

The previous prime is 131020441431403. The next prime is 131020441431431. The reversal of 131020441431423 is 324134144020131.

It is a happy number.

It is not a de Polignac number, because 131020441431423 - 29 = 131020441430911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020441431403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47975260968 + ... + 47975263698.

It is an arithmetic number, because the mean of its divisors is an integer number (2006714787000).

Almost surely, 2131020441431423 is an apocalyptic number.

131020441431423 is a deficient number, since it is larger than the sum of its proper divisors (61624178120577).

131020441431423 is a wasteful number, since it uses less digits than its factorization.

131020441431423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5614 counting only the distinct ones).

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

Adding to 131020441431423 its reverse (324134144020131), we get a palindrome (455154585451554).

The spelling of 131020441431423 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-one million, four hundred thirty-one thousand, four hundred twenty-three".

Divisors: 1 3 19 23 57 69 437 529 769 1311 1587 2069 2307 2731 6207 8193 10051 14611 17687 30153 39311 43833 47587 51889 53061 62813 117933 142761 155667 188439 336053 406801 904153 1008159 1094501 1193447 1220403 1444699 1591061 2100139 2712459 3283503 3580341 4334097 4773183 5650439 6300417 7729219 16951317 20795519 23187657 27449281 30230159 36594403 39902641 48303197 62386557 82347843 90690477 107358341 109783209 119707923 129960097 144909591 322075023 389880291 695293657 841671269 917760743 1110973531 2085880971 2469241843 2525013807 2753282229 2989082231 3332920593 4345187591 7407725529 8967246693 13035562773 15991754111 21108497089 47975262333 56792562389 63325491267 82558564229 99939314593 170377687167 247675692687 299817943779 1898846977267 2298604235639 5696540931801 6895812706917 43673480477141 131020441431423