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102252257 is a prime number
BaseRepresentation
bin1100001100000…
…11111011100001
321010101221201122
412012003323201
5202134033012
614051342025
72351062352
oct606037341
9233357648
10102252257
115279a6a8
122a2b1915
13182519c3
14d819d29
158e9be72
hex6183ee1

102252257 has 2 divisors, whose sum is σ = 102252258. Its totient is φ = 102252256.

The previous prime is 102252239. The next prime is 102252277. The reversal of 102252257 is 752252201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84070561 + 18181696 = 9169^2 + 4264^2 .

It is a cyclic number.

It is not a de Polignac number, because 102252257 - 214 = 102235873 is a prime.

It is not a weakly prime, because it can be changed into another prime (102252277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51126128 + 51126129.

It is an arithmetic number, because the mean of its divisors is an integer number (51126129).

Almost surely, 2102252257 is an apocalyptic number.

It is an amenable number.

102252257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102252257 is an equidigital number, since it uses as much as digits as its factorization.

102252257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 102252257 is about 10111.9858089299. The cubic root of 102252257 is about 467.6177281742.

The spelling of 102252257 in words is "one hundred two million, two hundred fifty-two thousand, two hundred fifty-seven".