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400120020967 is a prime number
BaseRepresentation
bin1011101001010010000…
…00101111111111100111
31102020210001102001210211
411310221000233333213
523023421211132332
6503451304400251
740623230030242
oct5645100577747
91366701361724
10400120020967
11144765358987
1265667476087
132b967471974
141551a0c6259
15a61c205447
hex5d2902ffe7

400120020967 has 2 divisors, whose sum is σ = 400120020968. Its totient is φ = 400120020966.

The previous prime is 400120020961. The next prime is 400120021013. The reversal of 400120020967 is 769020021004.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 400120020967 - 215 = 400119988199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400120020961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200060010483 + 200060010484.

It is an arithmetic number, because the mean of its divisors is an integer number (200060010484).

Almost surely, 2400120020967 is an apocalyptic number.

400120020967 is a deficient number, since it is larger than the sum of its proper divisors (1).

400120020967 is an equidigital number, since it uses as much as digits as its factorization.

400120020967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 400120020967 in words is "four hundred billion, one hundred twenty million, twenty thousand, nine hundred sixty-seven".