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221321320320102 = 232391115193115873
BaseRepresentation
bin110010010100101001100010…
…101011011100110001100110
31002000122010000100101111101120
4302110221202223130301212
5213002112031000220402
62102413335543434410
764421636431626552
oct6224514253346146
91060563010344346
10221321320320102
1164579932538632
12209a567a455a06
139665684745972
143c9201ac02862
151a8c11e96c3bc
hexc94a62adcc66

221321320320102 has 64 divisors (see below), whose sum is σ = 462429410420736. Its totient is φ = 70483510056960.

The previous prime is 221321320320101. The next prime is 221321320320103. The reversal of 221321320320102 is 201023023123122.

It is an interprime number because it is at equal distance from previous prime (221321320320101) and next prime (221321320320103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221321320320101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909975638 + ... + 1910091510.

It is an arithmetic number, because the mean of its divisors is an integer number (7225459537824).

Almost surely, 2221321320320102 is an apocalyptic number.

221321320320102 is an abundant number, since it is smaller than the sum of its proper divisors (241108090100634).

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

221321320320102 is a wasteful number, since it uses less digits than its factorization.

221321320320102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132005.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221321320320102 its reverse (201023023123122), we get a palindrome (422344343443224).

The spelling of 221321320320102 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, three hundred twenty million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 23 46 69 138 911 1822 2733 5466 15193 20953 30386 41906 45579 62859 91158 115873 125718 231746 347619 349439 695238 698878 1048317 2096634 2665079 5330158 7995237 13840823 15990474 27681646 41522469 83044938 105560303 211120606 316680909 318338929 633361818 636677858 955016787 1760458489 1910033574 2427886969 3520916978 4855773938 5281375467 7283660907 10562750934 14567321814 40490545247 80981090494 121471635741 242943271482 1603777683479 3207555366958 4811333050437 9622666100874 36886886720017 73773773440034 110660660160051 221321320320102