Search a number
-
+
102402210131 = 133128879241
BaseRepresentation
bin101111101011110100…
…1011011100101010011
3100210022120211021001022
41133113221123211103
53134204431211011
6115013134430055
710253423265404
oct1372751334523
9323276737038
10102402210131
113a479418131
1217a1a36232b
13986c3c0360
144d560d79ab
1529e509a8db
hex17d7a5b953

102402210131 has 24 divisors (see below), whose sum is σ = 114092268192. Its totient is φ = 91362902400.

The previous prime is 102402210103. The next prime is 102402210149. The reversal of 102402210131 is 131012204201.

It is a de Polignac number, because none of the positive numbers 2k-102402210131 is a prime.

It is a super-2 number, since 2×1024022101312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102402210151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11076671 + ... + 11085911.

It is an arithmetic number, because the mean of its divisors is an integer number (4753844508).

Almost surely, 2102402210131 is an apocalyptic number.

102402210131 is a deficient number, since it is larger than the sum of its proper divisors (11690058061).

102402210131 is an equidigital number, since it uses as much as digits as its factorization.

102402210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102402210131 its reverse (131012204201), we get a palindrome (233414414332).

The spelling of 102402210131 in words is "one hundred two billion, four hundred two million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 13 31 403 887 961 9241 11531 12493 27497 120133 286471 357461 852407 3724123 8196767 8880601 11081291 106557971 115447813 254099777 3303297101 7877093087 102402210131