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400312964231 is a prime number
BaseRepresentation
bin1011101001101001000…
…00110001010010000111
31102021021111110121012122
411310310200301102013
523024320104323411
6503522400040155
740631062024115
oct5646440612207
91367244417178
10400312964231
11144854261024
126570000305b
132b998427c8b
141553798cab5
15a62e1189db
hex5d34831487

400312964231 has 2 divisors, whose sum is σ = 400312964232. Its totient is φ = 400312964230.

The previous prime is 400312964221. The next prime is 400312964267. The reversal of 400312964231 is 132469213004.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400312964231 is a prime.

It is a super-2 number, since 2×4003129642312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400312964191 and 400312964200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400312964221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200156482115 + 200156482116.

It is an arithmetic number, because the mean of its divisors is an integer number (200156482116).

Almost surely, 2400312964231 is an apocalyptic number.

400312964231 is a deficient number, since it is larger than the sum of its proper divisors (1).

400312964231 is an equidigital number, since it uses as much as digits as its factorization.

400312964231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 400312964231 in words is "four hundred billion, three hundred twelve million, nine hundred sixty-four thousand, two hundred thirty-one".