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102813285006 = 23253107770739
BaseRepresentation
bin101111111000000100…
…1100011101010001110
3100211101020100000202200
41133300021203222032
53141030200110011
6115122021302330
710266544334415
oct1376011435216
9324336300680
10102813285006
113a66a467833
1217b13b649a6
13990660b823
144d9494247c
152a1b1ea856
hex17f0263a8e

102813285006 has 24 divisors (see below), whose sum is σ = 226965178440. Its totient is φ = 33624470256.

The previous prime is 102813284993. The next prime is 102813285031. The reversal of 102813285006 is 600582318201.

It is a happy number.

102813285006 is a `hidden beast` number, since 1 + 0 + 281 + 328 + 50 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53884416 + ... + 53886323.

It is an arithmetic number, because the mean of its divisors is an integer number (9456882435).

Almost surely, 2102813285006 is an apocalyptic number.

102813285006 is an abundant number, since it is smaller than the sum of its proper divisors (124151893434).

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

102813285006 is a wasteful number, since it uses less digits than its factorization.

102813285006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107770800 (or 107770797 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 102813285006 in words is "one hundred two billion, eight hundred thirteen million, two hundred eighty-five thousand, six".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 107770739 215541478 323312217 646624434 969936651 1939873302 5711849167 11423698334 17135547501 34271095002 51406642503 102813285006