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102431112900 = 22352721947297
BaseRepresentation
bin101111101100101011…
…1101011111011000100
3100210101121012200012020
41133121113223323010
53134234331103100
6115020050123140
710254224044134
oct1373127537304
9323347180166
10102431112900
113a493769216
1217a27b804b0
13987539ca9c
144d59c9cac4
1529e78a95a0
hex17d95ebec4

102431112900 has 72 divisors (see below), whose sum is σ = 296414674080. Its totient is φ = 27310602240.

The previous prime is 102431112899. The next prime is 102431112937. The reversal of 102431112900 is 9211134201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142052 + ... + 2189348.

Almost surely, 2102431112900 is an apocalyptic number.

102431112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102431112900 is an abundant number, since it is smaller than the sum of its proper divisors (193983561180).

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

102431112900 is a wasteful number, since it uses less digits than its factorization.

102431112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54533 (or 54526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 102431112900 in words is "one hundred two billion, four hundred thirty-one million, one hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7219 14438 21657 28876 36095 43314 47297 72190 86628 94594 108285 141891 144380 180475 189188 216570 236485 283782 360950 433140 472970 541425 567564 709455 721900 945940 1082850 1182425 1418910 2165700 2364850 2837820 3547275 4729700 7094550 14189100 341437043 682874086 1024311129 1365748172 1707185215 2048622258 3414370430 4097244516 5121555645 6828740860 8535926075 10243111290 17071852150 20486222580 25607778225 34143704300 51215556450 102431112900