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102131125 = 53817049
BaseRepresentation
bin1100001011001…
…10010110110101
321010011210120021
412011212112311
5202121144000
614045005141
72350046245
oct605462665
9233153507
10102131125
1152717698
122a2537b1
131820b825
14d7c7b25
158e7611a
hex61665b5

102131125 has 8 divisors (see below), whose sum is σ = 127459800. Its totient is φ = 81704800.

The previous prime is 102131119. The next prime is 102131131. The reversal of 102131125 is 521131201.

It is an interprime number because it is at equal distance from previous prime (102131119) and next prime (102131131).

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 102070609 = 246^2 + 10103^2 .

It is not a de Polignac number, because 102131125 - 25 = 102131093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131099 and 102131108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408400 + ... + 408649.

It is an arithmetic number, because the mean of its divisors is an integer number (15932475).

Almost surely, 2102131125 is an apocalyptic number.

It is an amenable number.

102131125 is a deficient number, since it is larger than the sum of its proper divisors (25328675).

102131125 is an frugal number, since it uses more digits than its factorization.

102131125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817064 (or 817054 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 102131125 is about 10105.9945082115. The cubic root of 102131125 is about 467.4330024955.

Adding to 102131125 its reverse (521131201), we get a palindrome (623262326).

The spelling of 102131125 in words is "one hundred two million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 817049 4085245 20426225 102131125