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102116544255 = 3251113115110429
BaseRepresentation
bin101111100011010011…
…1101100111011111111
3100202120200021221010200
41133012213230323333
53133113313404010
6114524531534543
710243354206315
oct1370647547377
9322520257120
10102116544255
113a342144130
121795a75a453
139825170aab
144d2a1b60b5
1529c9e6dcc0
hex17c69eceff

102116544255 has 96 divisors (see below), whose sum is σ = 195874398720. Its totient is φ = 48803040000.

The previous prime is 102116544241. The next prime is 102116544269. The reversal of 102116544255 is 552445611201.

102116544255 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 165 + 442 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (102116544241) and next prime (102116544269).

It is not a de Polignac number, because 102116544255 - 24 = 102116544239 is a prime.

It is a super-2 number, since 2×1021165442552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9786381 + ... + 9796809.

It is an arithmetic number, because the mean of its divisors is an integer number (2040358320).

Almost surely, 2102116544255 is an apocalyptic number.

102116544255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102116544255 is a deficient number, since it is larger than the sum of its proper divisors (93757854465).

102116544255 is a wasteful number, since it uses less digits than its factorization.

102116544255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10733 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 102116544255 in words is "one hundred two billion, one hundred sixteen million, five hundred forty-four thousand, two hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 131 151 165 393 453 495 655 755 1179 1359 1441 1661 1965 2265 4323 4983 5895 6795 7205 8305 10429 12969 14949 19781 21615 24915 31287 52145 59343 64845 74745 93861 98905 114719 156435 178029 217591 296715 344157 469305 573595 652773 890145 1032471 1087955 1366199 1574779 1720785 1958319 3263865 4098597 4724337 5162355 6830995 7873895 9791595 12295791 14173011 15028189 17322569 20492985 23621685 45084567 51967707 61478955 70865055 75140945 86612845 135253701 155903121 206296049 225422835 259838535 618888147 676268505 779515605 1031480245 1856664441 2269256539 3094440735 6807769617 9283322205 11346282695 20423308851 34038848085 102116544255