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401343531401 is a prime number
BaseRepresentation
bin1011101011100011111…
…00000100100110001001
31102100221022122211121002
411311301330010212021
523033422421001101
6504212532424345
740665444505121
oct5656174044611
91370838584532
10401343531401
11145232a6242a
12659491780b5
132bb00aa8337
14155d47b5c81
15a68e836d6b
hex5d71f04989

401343531401 has 2 divisors, whose sum is σ = 401343531402. Its totient is φ = 401343531400.

The previous prime is 401343531367. The next prime is 401343531403. The reversal of 401343531401 is 104135343104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397373901376 + 3969630025 = 630376^2 + 63005^2 .

It is a cyclic number.

It is not a de Polignac number, because 401343531401 - 238 = 126465624457 is a prime.

It is a super-2 number, since 2×4013435314012 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 401343531403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (401343531403) 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 as a sum of consecutive naturals, namely, 200671765700 + 200671765701.

It is an arithmetic number, because the mean of its divisors is an integer number (200671765701).

Almost surely, 2401343531401 is an apocalyptic number.

It is an amenable number.

401343531401 is a deficient number, since it is larger than the sum of its proper divisors (1).

401343531401 is an equidigital number, since it uses as much as digits as its factorization.

401343531401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 401343531401 its reverse (104135343104), we get a palindrome (505478874505).

The spelling of 401343531401 in words is "four hundred one billion, three hundred forty-three million, five hundred thirty-one thousand, four hundred one".