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102221330013000 = 233253113727906451
BaseRepresentation
bin10111001111100001000010…
…000100000101101101001000
3111101221021010020121222211200
4113033201002010011231020
5101344243240440404000
61001223455234024200
730350150564543202
oct2717410204055510
9441837106558750
10102221330013000
112a630905984680
12b56b218718060
134506578ab9c43
141b3577855d772
15bc402860a500
hex5cf842105b48

102221330013000 has 384 divisors, whose sum is σ = 387104907047040. Its totient is φ = 24111172800000.

The previous prime is 102221330012969. The next prime is 102221330013013. The reversal of 102221330013000 is 310033122201.

102221330013000 is a `hidden beast` number, since 1 + 0 + 22 + 213 + 300 + 130 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 10290226 + ... + 17616225.

It is an arithmetic number, because the mean of its divisors is an integer number (1008085695435).

Almost surely, 2102221330013000 is an apocalyptic number.

102221330013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221330013000 is an abundant number, since it is smaller than the sum of its proper divisors (284883577034040).

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

102221330013000 is a wasteful number, since it uses less digits than its factorization.

102221330013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27906526 (or 27906509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102221330013000 its reverse (310033122201), we get a palindrome (102531363135201).

The spelling of 102221330013000 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred thirty million, thirteen thousand".