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232120333341 = 3313432357659
BaseRepresentation
bin1101100000101101110…
…0110011010000011101
3211012010212100200102000
43120023130303100131
512300340301131331
6254345024152513
722525105164501
oct3301334632035
9735125320360
10232120333341
118a494971036
1238ba0768739
1318b72a71190
14b33dd8a301
1560882d00e6
hex360b73341d

232120333341 has 48 divisors (see below), whose sum is σ = 379148212800. Its totient is φ = 139520955168.

The previous prime is 232120333327. The next prime is 232120333373. The reversal of 232120333341 is 143333021232.

232120333341 is a `hidden beast` number, since 2 + 321 + 2 + 0 + 3 + 3 + 334 + 1 = 666.

232120333341 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 232120333341 - 25 = 232120333309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232120332341) 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 47 ways as a sum of consecutive naturals, for example, 470170 + ... + 827828.

It is an arithmetic number, because the mean of its divisors is an integer number (7898921100).

Almost surely, 2232120333341 is an apocalyptic number.

It is an amenable number.

232120333341 is a deficient number, since it is larger than the sum of its proper divisors (147027879459).

232120333341 is a wasteful number, since it uses less digits than its factorization.

232120333341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357767 (or 357718 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232120333341 its reverse (143333021232), we get a palindrome (375453354573).

The spelling of 232120333341 in words is "two hundred thirty-two billion, one hundred twenty million, three hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 43 117 129 351 387 559 1161 1677 1849 5031 5547 15093 16641 24037 49923 72111 216333 357659 648999 1072977 3218931 4649567 9656793 13948701 15379337 41846103 46138011 125538309 138414033 199931381 415242099 599794143 661311491 1799382429 1983934473 5398147287 5951803419 8597049383 17855410257 25791148149 77373444447 232120333341