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105004257514 = 213291011378841
BaseRepresentation
bin110000111001010111…
…1011101000011101010
3101001000221000222000121
41201302233131003222
53210022042220024
6120123245353454
710405050314362
oct1416257350352
9331027028017
10105004257514
1140594190912
121842586888a
139b954cc170
14512190d9a2
152ae87328e4
hex1872bdd0ea

105004257514 has 32 divisors (see below), whose sum is σ = 177208773840. Its totient is φ = 46329024000.

The previous prime is 105004257497. The next prime is 105004257581. The reversal of 105004257514 is 415752400501.

It can be written as a sum of positive squares in 8 ways, for example, as 51033069025 + 53971188489 = 225905^2 + 232317^2 .

It is a super-2 number, since 2×1050042575142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105004257514.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613267 + ... + 765574.

Almost surely, 2105004257514 is an apocalyptic number.

105004257514 is a deficient number, since it is larger than the sum of its proper divisors (72204516326).

105004257514 is a wasteful number, since it uses less digits than its factorization.

105004257514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378986.

The product of its (nonzero) digits is 28000, while the sum is 34.

The spelling of 105004257514 in words is "one hundred five billion, four million, two hundred fifty-seven thousand, five hundred fourteen".

Divisors: 1 2 13 26 29 58 101 202 377 754 1313 2626 2929 5858 38077 76154 1378841 2757682 17924933 35849866 39986389 79972778 139262941 278525882 519823057 1039646114 1810418233 3620836466 4038625289 8077250578 52502128757 105004257514