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221002321233231 = 32131187448957789
BaseRepresentation
bin110010010000000000011100…
…110110100000010101001111
31001222111121121202022212002100
4302100000130312200111033
5212431400223213430411
62102011021554130143
764356614354263326
oct6220003466402517
91058447552285070
10221002321233231
11644666158aa14a
1220953892280953
139641577709125
143c807d86c30bd
151a83b9e354456
hexc9001cda054f

221002321233231 has 12 divisors (see below), whose sum is σ = 321662411567640. Its totient is φ = 146210187074640.

The previous prime is 221002321233229. The next prime is 221002321233283. The reversal of 221002321233231 is 132332123200122.

221002321233231 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 0 + 2 + 321 + 2 + 332 + 3 + 1 = 666.

It is not a de Polignac number, because 221002321233231 - 21 = 221002321233229 is a prime.

It is a super-2 number, since 2×2210023212332312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221002321233195 and 221002321233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002321213231) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93724477716 + ... + 93724480073.

It is an arithmetic number, because the mean of its divisors is an integer number (26805200963970).

Almost surely, 2221002321233231 is an apocalyptic number.

221002321233231 is a deficient number, since it is larger than the sum of its proper divisors (100660090334409).

221002321233231 is a wasteful number, since it uses less digits than its factorization.

221002321233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187448957926 (or 187448957923 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221002321233231 its reverse (132332123200122), we get a palindrome (353334444433353).

The spelling of 221002321233231 in words is "two hundred twenty-one trillion, two billion, three hundred twenty-one million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 131 393 1179 187448957789 562346873367 1687040620101 24555813470359 73667440411077 221002321233231