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232205231324241 = 32789263613256877
BaseRepresentation
bin110100110011000001111110…
…010100111111110001010001
31010110011121021211010011021200
4310303001332110333301101
5220413422303204333431
62141505335521141413
766624163046003220
oct6463017624776121
91113147254104250
10232205231324241
1167a9575a56074a
1222062b1a18a869
139c74b23014196
14414ab1661acb7
151bca2ce6b6ee6
hexd3307e53fc51

232205231324241 has 96 divisors (see below), whose sum is σ = 389740069255680. Its totient is φ = 130485248289792.

The previous prime is 232205231324207. The next prime is 232205231324251. The reversal of 232205231324241 is 142423132502232.

232205231324241 is a `hidden beast` number, since 2 + 3 + 2 + 20 + 523 + 1 + 32 + 42 + 41 = 666.

It is not a de Polignac number, because 232205231324241 - 214 = 232205231307857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232205231324196 and 232205231324205.

It is not an unprimeable number, because it can be changed into a prime (232205231324251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 903826495 + ... + 904083371.

It is an arithmetic number, because the mean of its divisors is an integer number (4059792388080).

Almost surely, 2232205231324241 is an apocalyptic number.

232205231324241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232205231324241 is a deficient number, since it is larger than the sum of its proper divisors (157534837931439).

232205231324241 is a wasteful number, since it uses less digits than its factorization.

232205231324241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257855 (or 257852 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 232205231324241 its reverse (142423132502232), we get a palindrome (374628363826473).

The spelling of 232205231324241 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred thirty-one million, three hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 89 263 267 613 623 789 801 1839 1841 1869 2367 4291 5517 5523 5607 12873 16569 23407 38619 54557 70221 161219 163671 163849 210663 256877 381899 483657 491013 491547 770631 1128533 1145697 1450971 1474641 1798139 2311893 3385599 3437091 5394417 10156797 14348491 16183251 22862053 43045473 67558651 68586159 100439437 129136419 157465601 160034371 202675953 205758477 301318311 472396803 472910557 480103113 608027859 903954933 1102259207 1417190409 1418731671 1440309339 3306777621 4256195013 6012719939 9920332863 14014438489 18038159817 41413453063 42043315467 42089039573 54114479451 98101069423 124240359189 126129946401 126267118719 289894171441 294303208269 372721077567 378801356157 869682514323 882909624807 2609047542969 3685797322607 11057391967821 25800581258249 33172175903463 77401743774747 232205231324241