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102145472451 = 321117118751131
BaseRepresentation
bin101111100100001011…
…0000011011111000011
3100202122200201122011100
41133020112003133003
53133143220104301
6114531443545443
710244155122141
oct1371026033703
9322580648140
10102145472451
113a357502330
121796838b283
13982b15bc79
144d2dd86591
1529cc785286
hex17c85837c3

102145472451 has 48 divisors (see below), whose sum is σ = 170571443328. Its totient is φ = 58214572800.

The previous prime is 102145472447. The next prime is 102145472479. The reversal of 102145472451 is 154274541201.

102145472451 is a `hidden beast` number, since 1 + 0 + 2 + 145 + 472 + 45 + 1 = 666.

It is not a de Polignac number, because 102145472451 - 22 = 102145472447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102145472441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972156 + ... + 2023286.

It is an arithmetic number, because the mean of its divisors is an integer number (3553571736).

Almost surely, 2102145472451 is an apocalyptic number.

102145472451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102145472451 is a deficient number, since it is larger than the sum of its proper divisors (68425970877).

102145472451 is a wasteful number, since it uses less digits than its factorization.

102145472451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52352 (or 52349 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 102145472451 in words is "one hundred two billion, one hundred forty-five million, four hundred seventy-two thousand, four hundred fifty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1187 1683 3561 10683 13057 20179 39171 51131 60537 117513 153393 181611 221969 460179 562441 665907 869227 1687323 1997721 2607681 5061969 7823043 9561497 28684491 60692497 86053473 182077491 546232473 667617467 1031772449 2002852401 3095317347 6008557203 9285952041 11349496939 34048490817 102145472451