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102202300031 = 1356988115683
BaseRepresentation
bin101111100101110111…
…0110101011001111111
3100202210122122202221112
41133023232311121333
53133302242100111
6114541233552235
710245445134206
oct1371356653177
9322718582845
10102202300031
113a386596777
121798341567b
139839b67c60
144d3773a23d
1529d275ce8b
hex17cbbb567f

102202300031 has 16 divisors (see below), whose sum is σ = 110389638240. Its totient is φ = 94061890560.

The previous prime is 102202300019. The next prime is 102202300033. The reversal of 102202300031 is 130003202201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102202300031 - 210 = 102202299007 is a prime.

It is a super-2 number, since 2×1022023000312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102202299979 and 102202300015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202300033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6508916 + ... + 6524598.

It is an arithmetic number, because the mean of its divisors is an integer number (6899352390).

Almost surely, 2102202300031 is an apocalyptic number.

102202300031 is a deficient number, since it is larger than the sum of its proper divisors (8187338209).

102202300031 is a wasteful number, since it uses less digits than its factorization.

102202300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17146.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102202300031 its reverse (130003202201), we get a palindrome (232205502232).

The spelling of 102202300031 in words is "one hundred two billion, two hundred two million, three hundred thousand, thirty-one".

Divisors: 1 13 569 881 7397 11453 15683 203879 501289 6516757 8923627 13816723 116007151 179617399 7861715387 102202300031