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102414001332 = 22318894517999
BaseRepresentation
bin101111101100001011…
…0011010010010110100
3100210100102000022112110
41133120112122102310
53134220441020312
6115014235251020
710253625435156
oct1373026322264
9323312008473
10102414001332
113a485041025
1217a222a9a70
13987198b2b6
144d578c6ad6
1529e612943c
hex17d859a4b4

102414001332 has 24 divisors (see below), whose sum is σ = 239092560000. Its totient is φ = 34119920896.

The previous prime is 102414001301. The next prime is 102414001351. The reversal of 102414001332 is 233100414201.

It is a junction number, because it is equal to n+sod(n) for n = 102414001299 and 102414001308.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2236332 + ... + 2281667.

It is an arithmetic number, because the mean of its divisors is an integer number (9962190000).

Almost surely, 2102414001332 is an apocalyptic number.

102414001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102414001332 is an abundant number, since it is smaller than the sum of its proper divisors (136678558668).

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

102414001332 is a wasteful number, since it uses less digits than its factorization.

102414001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519895 (or 4519893 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102414001332 its reverse (233100414201), we get a palindrome (335514415533).

The spelling of 102414001332 in words is "one hundred two billion, four hundred fourteen million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 1889 3778 5667 7556 11334 22668 4517999 9035998 13553997 18071996 27107994 54215988 8534500111 17069000222 25603500333 34138000444 51207000666 102414001332