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102052821006 = 23217333505951
BaseRepresentation
bin101111100001011010…
…0100111100000001110
3100202102020101110021100
41133002310213200032
53133001010233011
6114514334043530
710241651444253
oct1370264474016
9322366343240
10102052821006
113a30a17a994
12179413495a6
139814bbc226
144d2194942a
1529c4582d56
hex17c2d2780e

102052821006 has 24 divisors (see below), whose sum is σ = 234121178304. Its totient is φ = 32016571200.

The previous prime is 102052820981. The next prime is 102052821007. The reversal of 102052821006 is 600128250201.

It is a happy number.

102052821006 is a `hidden beast` number, since 10 + 20 + 528 + 2 + 100 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102052821007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166752670 + ... + 166753281.

It is an arithmetic number, because the mean of its divisors is an integer number (9755049096).

Almost surely, 2102052821006 is an apocalyptic number.

102052821006 is an abundant number, since it is smaller than the sum of its proper divisors (132068357298).

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

102052821006 is a wasteful number, since it uses less digits than its factorization.

102052821006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333505976 (or 333505973 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 102052821006 in words is "one hundred two billion, fifty-two million, eight hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 333505951 667011902 1000517853 2001035706 3001553559 5669601167 6003107118 11339202334 17008803501 34017607002 51026410503 102052821006