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102187424097 = 311112292
BaseRepresentation
bin101111100101011011…
…0000101100101100001
3100202202121200000000000
41133022312011211201
53133234440032342
6114535543050213
710245204526143
oct1371266054541
9322677600000
10102187424097
113a379156210
121797a440969
139836a59c25
144d35786c93
1529d12c044c
hex17cad85961

102187424097 has 72 divisors (see below), whose sum is σ = 167948857440. Its totient is φ = 61661327760.

The previous prime is 102187424051. The next prime is 102187424107. The reversal of 102187424097 is 790424781201.

102187424097 is a `hidden beast` number, since 1 + 0 + 218 + 7 + 424 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 102187424097 - 27 = 102187423969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102187404097) 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 71 ways as a sum of consecutive naturals, for example, 446233179 + ... + 446233407.

It is an arithmetic number, because the mean of its divisors is an integer number (2332623020).

Almost surely, 2102187424097 is an apocalyptic number.

It is an amenable number.

102187424097 is a deficient number, since it is larger than the sum of its proper divisors (65761433343).

102187424097 is an frugal number, since it uses more digits than its factorization.

102187424097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 102187424097 in words is "one hundred two billion, one hundred eighty-seven million, four hundred twenty-four thousand, ninety-seven".

Divisors: 1 3 9 11 27 33 81 99 229 243 297 687 729 891 2061 2187 2519 2673 6183 6561 7557 8019 18549 19683 22671 24057 52441 55647 59049 68013 72171 157323 166941 177147 204039 216513 471969 500823 576851 612117 649539 1415907 1502469 1730553 1836351 1948617 4247721 4507407 5191659 5509053 12743163 13522221 15574977 16527159 38229489 40566663 46724931 49581477 114688467 140174793 148744431 344065401 420524379 446233293 1032196203 1261573137 3096588609 3784719411 9289765827 11354158233 34062474699 102187424097