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230231000132032 = 2631424872731279
BaseRepresentation
bin110100010110010011010100…
…111110101010100111000000
31010012011212110020211101011011
4310112103110332222213000
5220134101042013211112
62133354354503130304
766331432544520514
oct6426232476524700
91105155406741134
10230231000132032
11673a4467512629
12219a4388143994
139b608c8367693
1440bd350280144
151b93c83b21aa7
hexd164d4faa9c0

230231000132032 has 56 divisors (see below), whose sum is σ = 471613482536960. Its totient is φ = 111399434023680.

The previous prime is 230231000132017. The next prime is 230231000132053.

230231000132032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230231000131994 and 230231000132012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82928569 + ... + 85659847.

Almost surely, 2230231000132032 is an apocalyptic number.

It is an amenable number.

230231000132032 is an abundant number, since it is smaller than the sum of its proper divisors (241382482404928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230231000132032 is a wasteful number, since it uses less digits than its factorization.

230231000132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773809 (or 2773799 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 230231000 and 132032, that added together give a palindrome (230363032).

The spelling of 230231000132032 in words is "two hundred thirty trillion, two hundred thirty-one billion, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 42487 84974 169948 339896 679792 1317097 1359584 2634194 2719168 2731279 5268388 5462558 10536776 10925116 21073552 21850232 42147104 43700464 84294208 84669649 87400928 169339298 174801856 338678596 677357192 1354714384 2709428768 5418857536 116043850873 232087701746 464175403492 928350806984 1856701613968 3597359377063 3713403227936 7194718754126 7426806455872 14389437508252 28778875016504 57557750033008 115115500066016 230231000132032