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11431102431441 = 371129613467977
BaseRepresentation
bin1010011001011000001011…
…0011001100000011010001
31111110210200011221021022110
42212112002303030003101
52444241344210301231
640151213112455533
72256604242324120
oct246260263140321
944423604837273
1011431102431441
1137079a3350400
1213475110aa5a9
1364bc43649a84
142b73a8355ab7
1514c538893046
hexa6582ccc0d1

11431102431441 has 48 divisors (see below), whose sum is σ = 19148341933952. Its totient is φ = 5937604611840.

The previous prime is 11431102431407. The next prime is 11431102431449. The reversal of 11431102431441 is 14413420113411.

It is not a de Polignac number, because 11431102431441 - 29 = 11431102430929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11431102431399 and 11431102431408.

It is not an unprimeable number, because it can be changed into a prime (11431102431449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24192645 + ... + 24660621.

Almost surely, 211431102431441 is an apocalyptic number.

11431102431441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11431102431441 is a deficient number, since it is larger than the sum of its proper divisors (7717239502511).

11431102431441 is a wasteful number, since it uses less digits than its factorization.

11431102431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477622 (or 477611 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 11431102431441 its reverse (14413420113411), we get a palindrome (25844522544852).

The spelling of 11431102431441 in words is "eleven trillion, four hundred thirty-one billion, one hundred two million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 9613 28839 67291 105743 201873 317229 467977 740201 1163173 1403931 2220603 3275839 3489519 5147747 8142211 9827517 15443241 24426633 36034229 56625217 108102687 169875651 396376519 1189129557 4498662901 13495988703 31490640307 49485291911 94471920921 148455875733 346397043377 544338211021 1039191130131 1633014633063 3810367477147 11431102431441