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1304104014031 = 713210111396589
BaseRepresentation
bin10010111110100010101…
…010000001000011001111
311121200010020202222002211
4102332202222001003033
5132331301111422111
62435032550531251
7163134625136020
oct22764252010317
94550106688084
101304104014031
11463081799725
121908b1966b27
1395c90436700
1447194656c47
1523dc9394521
hex12fa2a810cf

1304104014031 has 48 divisors (see below), whose sum is σ = 1644289433280. Its totient is φ = 1012551321600.

The previous prime is 1304104014023. The next prime is 1304104014043.

It is a happy number.

1304104014031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1304104014031 - 23 = 1304104014023 is a prime.

It is a super-2 number, since 2×13041040140312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304104013993 and 1304104014011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304104014001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13453285 + ... + 13549873.

It is an arithmetic number, because the mean of its divisors is an integer number (34256029860).

Almost surely, 21304104014031 is an apocalyptic number.

1304104014031 is a deficient number, since it is larger than the sum of its proper divisors (340185419249).

1304104014031 is a wasteful number, since it uses less digits than its factorization.

1304104014031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96836 (or 96823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 1304104014031 in words is "one trillion, three hundred four billion, one hundred four million, fourteen thousand, thirty-one".

Divisors: 1 7 13 91 101 113 169 707 791 1183 1313 1469 9191 10283 11413 17069 19097 79891 96589 119483 133679 148369 676123 1038583 1255657 1928797 8789599 9755489 10914557 13501579 16323541 68288423 76401899 114264787 126821357 141889241 887749499 993224687 1102370257 1648677641 1844560133 7716591799 11540743487 12911920931 14330813341 100315693387 186300573433 1304104014031