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312302000331 = 354329888219
BaseRepresentation
bin1001000101101101010…
…01100101100011001011
31002212002212022101200000
410202312221211203023
520104043303002311
6355245231414043
731364064126456
oct4426651454313
91085085271600
10312302000331
111104a0379222
1250639384323
13235b0711849
1411188cd449d
1581cc6d6056
hex48b6a658cb

312302000331 has 24 divisors (see below), whose sum is σ = 478689731520. Its totient is φ = 203359435272.

The previous prime is 312302000293. The next prime is 312302000341. The reversal of 312302000331 is 133000203213.

312302000331 is a `hidden beast` number, since 31 + 2 + 302 + 0 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 312302000331 - 26 = 312302000267 is a prime.

It is a super-2 number, since 2×3123020003312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312302000341) 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 23 ways as a sum of consecutive naturals, for example, 14933661 + ... + 14954558.

It is an arithmetic number, because the mean of its divisors is an integer number (19945405480).

Almost surely, 2312302000331 is an apocalyptic number.

312302000331 is a deficient number, since it is larger than the sum of its proper divisors (166387731189).

312302000331 is an equidigital number, since it uses as much as digits as its factorization.

312302000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29888277 (or 29888265 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312302000331 its reverse (133000203213), we get a palindrome (445302203544).

The spelling of 312302000331 in words is "three hundred twelve billion, three hundred two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 10449 29888219 89664657 268993971 806981913 1285193417 2420945739 3855580251 7262837217 11566740753 34700222259 104100666777 312302000331