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102313114440 = 233519231951051
BaseRepresentation
bin101111101001001010…
…1100011101101001000
3100210002101011201201220
41133102111203231020
53134014124130230
6115000233042040
710251262060245
oct1372225435510
9323071151656
10102313114440
113a4330a4229
12179b4556320
139856ac6c04
144d483445cc
1529dc34bd10
hex17d2563b48

102313114440 has 128 divisors (see below), whose sum is σ = 337141785600. Its totient is φ = 24723705600.

The previous prime is 102313114429. The next prime is 102313114493. The reversal of 102313114440 is 44411313201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102313114440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 923086 + ... + 1027965.

It is an arithmetic number, because the mean of its divisors is an integer number (2633920200).

Almost surely, 2102313114440 is an apocalyptic number.

102313114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102313114440 is an abundant number, since it is smaller than the sum of its proper divisors (234828671160).

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

102313114440 is a wasteful number, since it uses less digits than its factorization.

102313114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951107 (or 1951103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102313114440 its reverse (44411313201), we get a palindrome (146724427641).

The spelling of 102313114440 in words is "one hundred two billion, three hundred thirteen million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 52440 1951051 3902102 5853153 7804204 9755255 11706306 15608408 19510510 23412612 29265765 37069969 39021020 44874173 46825224 58531530 74139938 78042040 89748346 111209907 117063060 134622519 148279876 179496692 185349845 222419814 224370865 234126120 269245038 296559752 358993384 370699690 444839628 448741730 538490076 556049535 673112595 741399380 852609287 889679256 897483460 1076980152 1112099070 1346225190 1482798760 1705218574 1794966920 2224198140 2557827861 2692450380 3410437148 4263046435 4448396280 5115655722 5384900760 6820874296 8526092870 10231311444 12789139305 17052185740 20462622888 25578278610 34104371480 51156557220 102313114440