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102257365 = 572417377
BaseRepresentation
bin1100001100001…
…01001011010101
321010102012201211
412012011023111
5202134213430
614051421421
72351113300
oct606051325
9233365654
10102257365
11527a3521
122a2b4871
1318254122
14d81bb37
158e9d72a
hex61852d5

102257365 has 12 divisors (see below), whose sum is σ = 142743276. Its totient is φ = 70119168.

The previous prime is 102257347. The next prime is 102257377. The reversal of 102257365 is 563752201.

It can be written as a sum of positive squares in 2 ways, for example, as 30041361 + 72216004 = 5481^2 + 8498^2 .

It is not a de Polignac number, because 102257365 - 219 = 101733077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208444 + ... + 208933.

It is an arithmetic number, because the mean of its divisors is an integer number (11895273).

Almost surely, 2102257365 is an apocalyptic number.

It is an amenable number.

102257365 is a deficient number, since it is larger than the sum of its proper divisors (40485911).

102257365 is an equidigital number, since it uses as much as digits as its factorization.

102257365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417396 (or 417389 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 102257365 is about 10112.2383773327. The cubic root of 102257365 is about 467.6255146416.

The spelling of 102257365 in words is "one hundred two million, two hundred fifty-seven thousand, three hundred sixty-five".

Divisors: 1 5 7 35 49 245 417377 2086885 2921639 14608195 20451473 102257365