Search a number
-
+
102312213313112 = 23116646317493023
BaseRepresentation
bin10111010000110101101011…
…001000010111011001011000
3111102020221201001120222220222
4113100311223020113121120
5101402240403102004422
61001333325410335212
730356546011052555
oct2720655310273130
9442227631528828
10102312213313112
112a666403161160
12b58496128a508
1345120009095ba
141b39d1a8aba2c
15bc65972b5842
hex5d0d6b217658

102312213313112 has 32 divisors (see below), whose sum is σ = 209278142484480. Its totient is φ = 46504849126560.

The previous prime is 102312213313091. The next prime is 102312213313117. The reversal of 102312213313112 is 211313312213201.

It is a super-2 number, since 2×1023122133131122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312213313117) 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 7 ways as a sum of consecutive naturals, for example, 2897768 + ... + 14595255.

It is an arithmetic number, because the mean of its divisors is an integer number (6539941952640).

Almost surely, 2102312213313112 is an apocalyptic number.

It is an amenable number.

102312213313112 is an abundant number, since it is smaller than the sum of its proper divisors (106965929171368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102312213313112 is a wasteful number, since it uses less digits than its factorization.

102312213313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17559503 (or 17559499 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 102312213313112 its reverse (211313312213201), we get a palindrome (313625525526313).

The spelling of 102312213313112 in words is "one hundred two trillion, three hundred twelve billion, two hundred thirteen million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 66463 132926 265852 531704 731093 1462186 2924372 5848744 17493023 34986046 69972092 139944184 192423253 384846506 769693012 1539386024 1162638787649 2325277575298 4650555150596 9301110301192 12789026664139 25578053328278 51156106656556 102312213313112