Search a number
-
+
102615140365241 = 723727876700303
BaseRepresentation
bin10111010101001111110010…
…111111010111001110111001
3111110022220121120021200100012
4113111033302333113032321
5101422221301413141431
61002124424504351305
730420461560366010
oct2725176277271671
9443286546250305
10102615140365241
112a772922623aa9
12b613602a75535
134534748c8b1ca
141b4a856667a77
15bce3c690922b
hex5d53f2fd73b9

102615140365241 has 16 divisors (see below), whose sum is σ = 122541661691904. Its totient is φ = 84015943341264.

The previous prime is 102615140365229. The next prime is 102615140365253. The reversal of 102615140365241 is 142563041516201.

It is an interprime number because it is at equal distance from previous prime (102615140365229) and next prime (102615140365253).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102615140365241 is a prime.

It is a super-2 number, since 2×1026151403652412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102615140365271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438233105 + ... + 438467198.

It is an arithmetic number, because the mean of its divisors is an integer number (7658853855744).

Almost surely, 2102615140365241 is an apocalyptic number.

It is an amenable number.

102615140365241 is a deficient number, since it is larger than the sum of its proper divisors (19926521326663).

102615140365241 is an equidigital number, since it uses as much as digits as its factorization.

102615140365241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876701060.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 102615140365241 in words is "one hundred two trillion, six hundred fifteen billion, one hundred forty million, three hundred sixty-five thousand, two hundred forty-one".

Divisors: 1 7 23 161 727 5089 16721 117047 876700303 6136902121 20164106969 141148748783 637361120281 4461527841967 14659305766463 102615140365241