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102400425 = 32521992287
BaseRepresentation
bin1100001101010…
…00000110101001
321010200110222100
412012220012221
5202203303200
614054444013
72352250341
oct606500651
9233613870
10102400425
1152890a56
122a363609
13182a428a
14d857d21
158ecad00
hex61a81a9

102400425 has 36 divisors (see below), whose sum is σ = 184412800. Its totient is φ = 54315360.

The previous prime is 102400387. The next prime is 102400427. The reversal of 102400425 is 524004201.

102400425 is a `hidden beast` number, since 1 + 0 + 240 + 0 + 425 = 666.

It is not a de Polignac number, because 102400425 - 217 = 102269353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102400398 and 102400407.

It is not an unprimeable number, because it can be changed into a prime (102400427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43632 + ... + 45918.

Almost surely, 2102400425 is an apocalyptic number.

102400425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102400425 is a deficient number, since it is larger than the sum of its proper divisors (82012375).

102400425 is a wasteful number, since it uses less digits than its factorization.

102400425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102400425 is about 10119.3095120171. The cubic root of 102400425 is about 467.8434853567.

Adding to 102400425 its reverse (524004201), we get a palindrome (626404626).

The spelling of 102400425 in words is "one hundred two million, four hundred thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 199 225 597 995 1791 2287 2985 4975 6861 8955 11435 14925 20583 34305 44775 57175 102915 171525 455113 514575 1365339 2275565 4096017 6826695 11377825 20480085 34133475 102400425