Search a number
-
+
102565037 is a prime number
BaseRepresentation
bin1100001110100…
…00010010101101
321010222211210002
412013100102231
5202224040122
614102154045
72353534301
oct607202255
9233884702
10102565037
11529936a3
122a422925
1318331193
14d89bd01
15900e992
hex61d04ad

102565037 has 2 divisors, whose sum is σ = 102565038. Its totient is φ = 102565036.

The previous prime is 102565013. The next prime is 102565039. The reversal of 102565037 is 730565201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71048041 + 31516996 = 8429^2 + 5614^2 .

It is an emirp because it is prime and its reverse (730565201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102565037 is a prime.

It is a super-2 number, since 2×1025650372 = 21039173629622738, which contains 22 as substring.

Together with 102565039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102565039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51282518 + 51282519.

It is an arithmetic number, because the mean of its divisors is an integer number (51282519).

Almost surely, 2102565037 is an apocalyptic number.

It is an amenable number.

102565037 is a deficient number, since it is larger than the sum of its proper divisors (1).

102565037 is an equidigital number, since it uses as much as digits as its factorization.

102565037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 102565037 is about 10127.4398048075. The cubic root of 102565037 is about 468.0940423306.

The spelling of 102565037 in words is "one hundred two million, five hundred sixty-five thousand, thirty-seven".