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231222103331121 = 32724112788125841
BaseRepresentation
bin110100100100101110010111…
…010101010101000100110001
31010022200121122221100111011100
4310210232113111111010301
5220301320331423043441
62135433545020235013
766463150161643500
oct6444562725250461
91108617587314140
10231222103331121
116774681a4232a1
1221b2448669ba69
139c031c6376886
1441152d0c96837
151bae93e293cb6
hexd24b97555131

231222103331121 has 36 divisors (see below), whose sum is σ = 397992052454724. Its totient is φ = 128904308467200.

The previous prime is 231222103331071. The next prime is 231222103331159. The reversal of 231222103331121 is 121133301222132.

231222103331121 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 2 + 210 + 333 + 112 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81493499390625 + 149728603940496 = 9027375^2 + 12236364^2 .

It is not a de Polignac number, because 231222103331121 - 29 = 231222103330609 is a prime.

It is a super-2 number, since 2×2312221033311212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231222103331621) 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 35 ways as a sum of consecutive naturals, for example, 6394044840 + ... + 6394081001.

It is an arithmetic number, because the mean of its divisors is an integer number (11055334790409).

Almost surely, 2231222103331121 is an apocalyptic number.

231222103331121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231222103331121 is a deficient number, since it is larger than the sum of its proper divisors (166769949123603).

231222103331121 is a wasteful number, since it uses less digits than its factorization.

231222103331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788125902 (or 12788125892 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 231222103331121 its reverse (121133301222132), we get a palindrome (352355404553253).

The spelling of 231222103331121 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, one hundred three million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 6027 18081 12788125841 38364377523 89516880887 115093132569 268550642661 524313159481 626618166209 805651927983 1572939478443 1879854498627 3670192116367 4718818435329 5639563495881 11010576349101 25691344814569 33031729047303 77074034443707 231222103331121