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102132337 is a prime number
BaseRepresentation
bin1100001011001…
…10101001110001
321010011212020011
412011212221301
5202121213322
614045014521
72350052626
oct605465161
9233155204
10102132337
115271859a
122a254441
131820c248
14d7c834d
158e76677
hex6166a71

102132337 has 2 divisors, whose sum is σ = 102132338. Its totient is φ = 102132336.

The previous prime is 102132313. The next prime is 102132341. The reversal of 102132337 is 733231201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101284096 + 848241 = 10064^2 + 921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102132337 is a prime.

It is a super-2 number, since 2×1021323372 = 20862028522163138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102132307) 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, 51066168 + 51066169.

It is an arithmetic number, because the mean of its divisors is an integer number (51066169).

Almost surely, 2102132337 is an apocalyptic number.

It is an amenable number.

102132337 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132337 is an equidigital number, since it uses as much as digits as its factorization.

102132337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 102132337 is about 10106.0544724437. The cubic root of 102132337 is about 467.4348515125.

Adding to 102132337 its reverse (733231201), we get a palindrome (835363538).

The spelling of 102132337 in words is "one hundred two million, one hundred thirty-two thousand, three hundred thirty-seven".