Search a number
-
+
102393637 is a prime number
BaseRepresentation
bin1100001101001…
…10011100100101
321010200010122221
412012212130211
5202203044022
614054352341
72352221503
oct606463445
9233603587
10102393637
1152886945
122a35b6b1
13182a1168
14d855673
158ec8cc7
hex61a6725

102393637 has 2 divisors, whose sum is σ = 102393638. Its totient is φ = 102393636.

The previous prime is 102393611. The next prime is 102393647. The reversal of 102393637 is 736393201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60000516 + 42393121 = 7746^2 + 6511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102393637 is a prime.

It is equal to p5891461 and since 102393637 and 5891461 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102393607) 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, 51196818 + 51196819.

It is an arithmetic number, because the mean of its divisors is an integer number (51196819).

Almost surely, 2102393637 is an apocalyptic number.

It is an amenable number.

102393637 is a deficient number, since it is larger than the sum of its proper divisors (1).

102393637 is an equidigital number, since it uses as much as digits as its factorization.

102393637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 34.

The square root of 102393637 is about 10118.9741080803. The cubic root of 102393637 is about 467.8331475358.

The spelling of 102393637 in words is "one hundred two million, three hundred ninety-three thousand, six hundred thirty-seven".