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102113313144 = 2334254721381
BaseRepresentation
bin101111100011001101…
…1011000000101111000
3100202120110012202212220
41133012123120011320
53133112002010034
6114524334404040
710243314561213
oct1370633300570
9322513182786
10102113313144
113a340337597
1217959660620
1398245ac1ab
144d299b477a
1529c9a31749
hex17c66d8178

102113313144 has 16 divisors (see below), whose sum is σ = 255283282920. Its totient is φ = 34037771040.

The previous prime is 102113313097. The next prime is 102113313149. The reversal of 102113313144 is 441313311201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4254721381 = 102113313144 / (1 + 0 + 2 + 1 + 1 + 3 + 3 + 1 + 3 + 1 + 4 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113313149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2127360667 + ... + 2127360714.

Almost surely, 2102113313144 is an apocalyptic number.

It is an amenable number.

102113313144 is an abundant number, since it is smaller than the sum of its proper divisors (153169969776).

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

102113313144 is a wasteful number, since it uses less digits than its factorization.

102113313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254721390 (or 4254721386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102113313144 its reverse (441313311201), we get a palindrome (543426624345).

The spelling of 102113313144 in words is "one hundred two billion, one hundred thirteen million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 4254721381 8509442762 12764164143 17018885524 25528328286 34037771048 51056656572 102113313144