Search a number
-
+
102431113008 = 2437304854503
BaseRepresentation
bin101111101100101011…
…1101011111100110000
3100210101121012200100020
41133121113223330300
53134234331104013
6115020050123440
710254224044350
oct1373127537460
9323347180306
10102431113008
113a493769304
1217a27b80580
13987539cb53
144d59c9cb60
1529e78a9623
hex17d95ebf30

102431113008 has 40 divisors (see below), whose sum is σ = 302415667968. Its totient is φ = 29266032192.

The previous prime is 102431112991. The next prime is 102431113027. The reversal of 102431113008 is 800311134201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 152426916 + ... + 152427587.

Almost surely, 2102431113008 is an apocalyptic number.

It is an amenable number.

102431113008 is an abundant number, since it is smaller than the sum of its proper divisors (199984554960).

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

102431113008 is a wasteful number, since it uses less digits than its factorization.

102431113008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304854521 (or 304854515 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 102431113008 its reverse (800311134201), we get a palindrome (902742247209).

The spelling of 102431113008 in words is "one hundred two billion, four hundred thirty-one million, one hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 304854503 609709006 914563509 1219418012 1829127018 2133981521 2438836024 3658254036 4267963042 4877672048 6401944563 7316508072 8535926084 12803889126 14633016144 17071852168 25607778252 34143704336 51215556504 102431113008