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105404502513 = 313115117310267
BaseRepresentation
bin110001000101010011…
…0010001000111110001
3101002001211011111221110
41202022212101013301
53211332023040023
6120231104143533
710421010326412
oct1421246210761
9332054144843
10105404502513
114077a103902
1218517907ba9
139c2a3c811b
14515cb39809
152b1d943a93
hex188a9911f1

105404502513 has 32 divisors (see below), whose sum is σ = 143387937792. Its totient is φ = 68864328000.

The previous prime is 105404502509. The next prime is 105404502523. The reversal of 105404502513 is 315205404501.

It is not a de Polignac number, because 105404502513 - 22 = 105404502509 is a prime.

It is a super-2 number, since 2×1054045025132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105404502503) 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, 10261206 + ... + 10271472.

It is an arithmetic number, because the mean of its divisors is an integer number (4480873056).

Almost surely, 2105404502513 is an apocalyptic number.

It is an amenable number.

105404502513 is a deficient number, since it is larger than the sum of its proper divisors (37983435279).

105404502513 is a wasteful number, since it uses less digits than its factorization.

105404502513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725.

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 105404502513 in words is "one hundred five billion, four hundred four million, five hundred two thousand, five hundred thirteen".

Divisors: 1 3 131 151 173 393 453 519 10267 19781 22663 26123 30801 59343 67989 78369 1344977 1550317 1776191 3422113 4034931 4650951 5328573 10266339 203091527 232681021 268204841 609274581 698043063 804614523 35134834171 105404502513