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102054065355 = 325111712127637
BaseRepresentation
bin101111100001011100…
…1010111010011001011
3100202102022201200012100
41133002321113103023
53133001320042410
6114514420444443
710241665146144
oct1370271272313
9322368650170
10102054065355
113a30a94a880
1217941849723
139815236728
144d21b90acb
1529c472b8c0
hex17c2e574cb

102054065355 has 48 divisors (see below), whose sum is σ = 204326445024. Its totient is φ = 46570122240.

The previous prime is 102054065227. The next prime is 102054065369. The reversal of 102054065355 is 553560450201.

102054065355 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 540 + 65 + 3 + 55 = 666.

It is not a de Polignac number, because 102054065355 - 27 = 102054065227 is a prime.

It is a super-2 number, since 2×1020540653552 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6055404 + ... + 6072233.

It is an arithmetic number, because the mean of its divisors is an integer number (4256800938).

Almost surely, 2102054065355 is an apocalyptic number.

102054065355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102054065355 is an abundant number, since it is smaller than the sum of its proper divisors (102272379669).

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

102054065355 is a wasteful number, since it uses less digits than its factorization.

102054065355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127676 (or 12127673 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 102054065355 in words is "one hundred two billion, fifty-four million, sixty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 12127637 36382911 60638185 109148733 133404007 181914555 206169829 400212021 545743665 618509487 667020035 1030849145 1200636063 1855528461 2001060105 2267868119 3092547435 6003180315 6803604357 9277642305 11339340595 20410813071 34018021785 102054065355