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102412125 = 325391033
BaseRepresentation
bin1100001101010…
…10111101011101
321010201002000200
412012222331131
5202204142000
614055014113
72352326424
oct606527535
9233632020
10102412125
1152899822
122a36a339
13182a96ba
14d85c2bb
158ece500
hex61aaf5d

102412125 has 24 divisors (see below), whose sum is σ = 184616952. Its totient is φ = 54619200.

The previous prime is 102412103. The next prime is 102412139. The reversal of 102412125 is 521214201.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 102030201 = 618^2 + 10101^2 .

It is not a de Polignac number, because 102412125 - 26 = 102412061 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102412098 and 102412107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44392 + ... + 46641.

It is an arithmetic number, because the mean of its divisors is an integer number (7692373).

Almost surely, 2102412125 is an apocalyptic number.

102412125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102412125 is a deficient number, since it is larger than the sum of its proper divisors (82204827).

102412125 is an equidigital number, since it uses as much as digits as its factorization.

102412125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91054 (or 91041 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102412125 is about 10119.8875981900. The cubic root of 102412125 is about 467.8613028619.

Adding to 102412125 its reverse (521214201), we get a palindrome (623626326).

The spelling of 102412125 in words is "one hundred two million, four hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 91033 273099 455165 819297 1365495 2275825 4096485 6827475 11379125 20482425 34137375 102412125