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102222221200021 = 1376179931292729
BaseRepresentation
bin10111001111100001110111…
…001011101100101010010101
3111101221100102100112222121101
4113033201313023230222111
5101344302102111400041
61001224123511150101
730350211635525116
oct2717416713545225
9441840370488541
10102222221200021
112a631222a3767a
12b56b427075331
13450668b619140
141b35820a6420d
15bc407b995b31
hex5cf8772eca95

102222221200021 has 16 divisors (see below), whose sum is σ = 110244004058160. Its totient is φ = 94223117445120.

The previous prime is 102222221200003. The next prime is 102222221200027. The reversal of 102222221200021 is 120002122222201.

It can be written as a sum of positive squares in 8 ways, for example, as 54291329110225 + 47930892089796 = 7368265^2 + 6923214^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222221200021 - 29 = 102222221199509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222221200027) 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, 78428385 + ... + 79721113.

It is an arithmetic number, because the mean of its divisors is an integer number (6890250253635).

Almost surely, 2102222221200021 is an apocalyptic number.

It is an amenable number.

102222221200021 is a deficient number, since it is larger than the sum of its proper divisors (8021782858139).

102222221200021 is a wasteful number, since it uses less digits than its factorization.

102222221200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301496.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102222221200021 its reverse (120002122222201), we get a palindrome (222224343422222).

The spelling of 102222221200021 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred thousand, twenty-one".

Divisors: 1 13 761 7993 9893 103909 1292729 6082673 16805477 79074749 983766769 10332782897 12788967997 134326177661 7863247784617 102222221200021