Search a number
-
+
102812506061 is a prime number
BaseRepresentation
bin101111111000000011…
…0100101011111001101
3100211101011212110020212
41133300012211133031
53141030000143221
6115121552452205
710266534611426
oct1376006453715
9324334773225
10102812506061
113a669a85581
1217b1384a065
1399063c8105
144d947bc64d
152a1b0e4b5b
hex17f01a57cd

102812506061 has 2 divisors, whose sum is σ = 102812506062. Its totient is φ = 102812506060.

The previous prime is 102812506039. The next prime is 102812506067. The reversal of 102812506061 is 160605218201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102787566025 + 24940036 = 320605^2 + 4994^2 .

It is a cyclic number.

It is not a de Polignac number, because 102812506061 - 214 = 102812489677 is a prime.

It is a super-2 number, since 2×1028125060612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102812506067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51406253030 + 51406253031.

It is an arithmetic number, because the mean of its divisors is an integer number (51406253031).

Almost surely, 2102812506061 is an apocalyptic number.

It is an amenable number.

102812506061 is a deficient number, since it is larger than the sum of its proper divisors (1).

102812506061 is an equidigital number, since it uses as much as digits as its factorization.

102812506061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 102812506061 in words is "one hundred two billion, eight hundred twelve million, five hundred six thousand, sixty-one".