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102414125 = 5311211353
BaseRepresentation
bin1100001101010…
…11011100101101
321010201011202202
412012223130231
5202204223000
614055031245
72352335312
oct606533455
9233634682
10102414125
11528a0280
122a36b525
13182aa598
14d85cd09
158ecedd5
hex61ab72d

102414125 has 32 divisors (see below), whose sum is σ = 140489856. Its totient is φ = 73920000.

The previous prime is 102414121. The next prime is 102414127. The reversal of 102414125 is 521414201.

It is a happy number.

It is not a de Polignac number, because 102414125 - 22 = 102414121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102414097 and 102414106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289949 + ... + 290301.

It is an arithmetic number, because the mean of its divisors is an integer number (4390308).

Almost surely, 2102414125 is an apocalyptic number.

It is an amenable number.

102414125 is a deficient number, since it is larger than the sum of its proper divisors (38075731).

102414125 is a wasteful number, since it uses less digits than its factorization.

102414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 102414125 is about 10119.9864130344. The cubic root of 102414125 is about 467.8643484535.

Adding to 102414125 its reverse (521414201), we get a palindrome (623828326).

The spelling of 102414125 in words is "one hundred two million, four hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 125 211 275 353 1055 1375 1765 2321 3883 5275 8825 11605 19415 26375 44125 58025 74483 97075 290125 372415 485375 819313 1862075 4096565 9310375 20482825 102414125