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212031300230001 = 32724112739920539
BaseRepresentation
bin110000001101011101100010…
…010101001101101101110001
31000210201222211212121120222200
4300031131202111031231301
5210242410100324330001
62030541500140053413
762442520165025100
oct6015354225155561
91023658755546880
10212031300230001
1161617a7337622a
121b945105534269
13914060952c405
143a505265cc037
15197a649d22086
hexc0d76254db71

212031300230001 has 72 divisors (see below), whose sum is σ = 364988844511200. Its totient is φ = 118196195483520.

The previous prime is 212031300229961. The next prime is 212031300230033. The reversal of 212031300230001 is 100032003130212.

212031300230001 is a `hidden beast` number, since 2 + 120 + 313 + 0 + 0 + 230 + 0 + 0 + 1 = 666.

212031300230001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212031300230001 - 214 = 212031300213617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212031300232001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229873590 + ... + 230794128.

It is an arithmetic number, because the mean of its divisors is an integer number (5069289507100).

Almost surely, 2212031300230001 is an apocalyptic number.

212031300230001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212031300230001 is a deficient number, since it is larger than the sum of its proper divisors (152957544281199).

212031300230001 is a wasteful number, since it uses less digits than its factorization.

212031300230001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933339 (or 933329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212031300230001 its reverse (100032003130212), we get a palindrome (312063303360213).

The spelling of 212031300230001 in words is "two hundred twelve trillion, thirty-one billion, three hundred million, two hundred thirty thousand, one".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 6027 12739 18081 38217 89173 114651 267519 522299 624211 802557 920539 1566897 1872633 2761617 3656093 4700691 5617899 6443773 8284851 10968279 19331319 25592651 32904837 37742099 45106411 57993957 76777953 113226297 135319233 230333859 264194693 339678891 405957699 792584079 1849362851 2377752237 5548088553 11726746321 16644265659 35180238963 82087224247 105540716889 246261672741 480796599161 574610569729 738785018223 1442389797483 1723831709187 3365576194127 4327169392449 5171495127561 10096728582381 23559033358889 30290185747143 70677100076667 212031300230001