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268000331 is a prime number
BaseRepresentation
bin11111111100101…
…01110001001011
3200200021211100012
433332111301023
51022102002311
642332102135
76432652034
oct1776256113
9620254305
10268000331
11128308685
127590494b
13436a58a1
1427843a8b
15187dc78b
hexff95c4b

268000331 has 2 divisors, whose sum is σ = 268000332. Its totient is φ = 268000330.

The previous prime is 268000309. The next prime is 268000333. The reversal of 268000331 is 133000862.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 268000331 - 210 = 267999307 is a prime.

It is a super-2 number, since 2×2680003312 = 143648354832219122, which contains 22 as substring.

Together with 268000333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 268000297 and 268000306.

It is not a weakly prime, because it can be changed into another prime (268000333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134000165 + 134000166.

It is an arithmetic number, because the mean of its divisors is an integer number (134000166).

Almost surely, 2268000331 is an apocalyptic number.

268000331 is a deficient number, since it is larger than the sum of its proper divisors (1).

268000331 is an equidigital number, since it uses as much as digits as its factorization.

268000331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 268000331 is about 16370.7156532633. The cubic root of 268000331 is about 644.7308381567.

It can be divided in two parts, 26 and 8000331, that multiplied together give a triangular number (208008606 = T20396).

The spelling of 268000331 in words is "two hundred sixty-eight million, three hundred thirty-one", and thus it is an aban number.