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232213331329 = 71132927100297
BaseRepresentation
bin1101100001000011111…
…1100011110110000001
3211012101100100110122221
43120100333203312001
512301033103100304
6254402145331041
722530314514610
oct3302077436601
9735340313587
10232213331329
118a53240a881
1239007936a81
1318b89102885
14b34c477877
156091550054
hex3610fe3d81

232213331329 has 16 divisors (see below), whose sum is σ = 267829360128. Its totient is φ = 197209216512.

The previous prime is 232213331327. The next prime is 232213331351. The reversal of 232213331329 is 923133312232.

232213331329 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 232213331329 - 21 = 232213331327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232213331294 and 232213331303.

It is not an unprimeable number, because it can be changed into a prime (232213331321) 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 15 ways as a sum of consecutive naturals, for example, 2265109 + ... + 2365405.

It is an arithmetic number, because the mean of its divisors is an integer number (16739335008).

Almost surely, 2232213331329 is an apocalyptic number.

It is an amenable number.

232213331329 is a deficient number, since it is larger than the sum of its proper divisors (35616028799).

232213331329 is a wasteful number, since it uses less digits than its factorization.

232213331329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103344.

The product of its digits is 34992, while the sum is 34.

The spelling of 232213331329 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 7 113 791 2927 20489 100297 330751 702079 2315257 11333561 79334927 293569319 2054985233 33173333047 232213331329