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212011013230031 = 2959941117296833
BaseRepresentation
bin110000001101001010101001…
…001000011100110111001111
31000210200001111001001012210102
4300031022221020130313033
5210242042023341330111
62030524303115201315
762441201356254431
oct6015125110346717
91023601431035712
10212011013230031
116160a402941954
121b9411a344623b
13913b725558c12
143a4d560158651
151979d5dcb413b
hexc0d2a921cdcf

212011013230031 has 16 divisors (see below), whose sum is σ = 219693967416000. Its totient is φ = 204352893308928.

The previous prime is 212011013229889. The next prime is 212011013230109. The reversal of 212011013230031 is 130032310110212.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212011013230031 is a prime.

It is a super-3 number, since 3×2120110132300313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212011013229985 and 212011013230012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011013230231) 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 15 ways as a sum of consecutive naturals, for example, 714094991 + ... + 714391823.

It is an arithmetic number, because the mean of its divisors is an integer number (13730872963500).

Almost surely, 2212011013230031 is an apocalyptic number.

212011013230031 is a deficient number, since it is larger than the sum of its proper divisors (7682954185969).

212011013230031 is a wasteful number, since it uses less digits than its factorization.

212011013230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338578.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212011013230031 its reverse (130032310110212), we get a palindrome (342043323340243).

The spelling of 212011013230031 in words is "two hundred twelve trillion, eleven billion, thirteen million, two hundred thirty thousand, thirty-one".

Divisors: 1 29 599 17371 41117 296833 1192393 8608157 24629083 177802967 714243407 5156286043 12204882461 353941591369 7310724594139 212011013230031