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1335107104331 = 711213197615493
BaseRepresentation
bin10011011011011010100…
…101011010111001001011
311201122010220120010200112
4103123122211122321023
5133333244404314311
62501201214424535
7165313125066260
oct23333245327113
94648126503615
101335107104331
11475241177300
1219690480214b
1398b9157b460
1448895db5267
1524ae10b028b
hex136da95ae4b

1335107104331 has 48 divisors (see below), whose sum is σ = 1815342927552. Its totient is φ = 955440541440.

The previous prime is 1335107104327. The next prime is 1335107104337. The reversal of 1335107104331 is 1334017015331.

It is a happy number.

It is not a de Polignac number, because 1335107104331 - 22 = 1335107104327 is a prime.

It is a super-2 number, since 2×13351071043312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1335107104337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861421 + ... + 2476913.

It is an arithmetic number, because the mean of its divisors is an integer number (37819644324).

Almost surely, 21335107104331 is an apocalyptic number.

1335107104331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1335107104331 is a deficient number, since it is larger than the sum of its proper divisors (480235823221).

1335107104331 is a wasteful number, since it uses less digits than its factorization.

1335107104331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615732 (or 615721 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 1335107104331 in words is "one trillion, three hundred thirty-five billion, one hundred seven million, one hundred four thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 197 847 1001 1379 1573 2167 2561 11011 15169 17927 23837 28171 166859 197197 309881 615493 2169167 4308451 6770423 8001409 47392961 56009863 74474653 88015499 121252121 521322571 616108493 848764847 968170489 1333773331 1576277573 6777193423 9336413317 11033943011 14671506641 17339053303 102700546487 121373373121 190729586333 1335107104331