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230232131002329 = 3318283729885369
BaseRepresentation
bin110100010110010100011000…
…011000100101111111011001
31010012011222101001202112120020
4310112110120120211333121
5220134110401014033304
62133355103021421053
766331502555665461
oct6426243030457731
91105158331675506
10230232131002329
11673a49978a2185
12219a4642a0a789
139b60a487364c1
1440bd41a536ba1
151b93ced0545d9
hexd16518625fd9

230232131002329 has 16 divisors (see below), whose sum is σ = 316882467847680. Its totient is φ = 148535060618880.

The previous prime is 230232131002319. The next prime is 230232131002339. The reversal of 230232131002329 is 923200131232032.

It is a happy number.

230232131002329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230232131002319) and next prime (230232131002339).

It is not a de Polignac number, because 230232131002329 - 28 = 230232131002073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230232131002329.

It is not an unprimeable number, because it can be changed into a prime (230232131002309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7238844 + ... + 22646525.

It is an arithmetic number, because the mean of its divisors is an integer number (19805154240480).

Almost surely, 2230232131002329 is an apocalyptic number.

It is an amenable number.

230232131002329 is a deficient number, since it is larger than the sum of its proper divisors (86650336845351).

230232131002329 is a wasteful number, since it uses less digits than its factorization.

230232131002329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29968240.

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 230232131002329 in words is "two hundred thirty trillion, two hundred thirty-two billion, one hundred thirty-one million, two thousand, three hundred twenty-nine".

Divisors: 1 3 31 93 82837 248511 2567947 7703841 29885369 89656107 926446439 2779339317 2475614311853 7426842935559 76744043667443 230232131002329