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100505105050104 = 23331134117711613
BaseRepresentation
bin10110110110100010101011…
…000101011010100111111000
3111011212012020120120122202000
4112312202223011122213320
5101133133423343100404
6553431224032541000
730112153124213616
oct2666425305324770
9434765216518660
10100505105050104
112a029a80702347
12b3326903b1760
13441078ab13911
141ab668a0406b6
15b9457d6aa339
hex5b68ab15a9f8

100505105050104 has 64 divisors (see below), whose sum is σ = 281651474397600. Its totient is φ = 33205226439168.

The previous prime is 100505105049983. The next prime is 100505105050109. The reversal of 100505105050104 is 401050501505001.

100505105050104 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 51 + 0 + 505 + 0 + 104 = 666.

100505105050104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005051050501042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100505105050109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2058831399 + ... + 2058880214.

Almost surely, 2100505105050104 is an apocalyptic number.

It is an amenable number.

100505105050104 is an abundant number, since it is smaller than the sum of its proper divisors (181146369347496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100505105050104 is a wasteful number, since it uses less digits than its factorization.

100505105050104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117711741 (or 4117711731 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 100505105050104 its reverse (401050501505001), we get a palindrome (501555606555105).

The spelling of 100505105050104 in words is "one hundred trillion, five hundred five billion, one hundred five million, fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 3051 4068 6102 8136 12204 24408 4117711613 8235423226 12353134839 16470846452 24706269678 32941692904 37059404517 49412539356 74118809034 98825078712 111178213551 148237618068 222356427102 296475236136 444712854204 465301412269 889425708408 930602824538 1395904236807 1861205649076 2791808473614 3722411298152 4187712710421 5583616947228 8375425420842 11167233894456 12563138131263 16750850841684 25126276262526 33501701683368 50252552525052 100505105050104