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400244220401 is a prime number
BaseRepresentation
bin1011101001100000110…
…10100010000111110001
31102021002201010001101212
411310300122202013301
523024200010023101
6503511502405505
740626265511564
oct5646032420761
91367081101355
10400244220401
11144819478843
12656a0b90895
132b98710915c
141552c7b64db
15a62808a1bb
hex5d306a21f1

400244220401 has 2 divisors, whose sum is σ = 400244220402. Its totient is φ = 400244220400.

The previous prime is 400244220391. The next prime is 400244220403. The reversal of 400244220401 is 104022442004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395565523600 + 4678696801 = 628940^2 + 68401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400244220401 is a prime.

Together with 400244220403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400244220403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200122110200 + 200122110201.

It is an arithmetic number, because the mean of its divisors is an integer number (200122110201).

Almost surely, 2400244220401 is an apocalyptic number.

It is an amenable number.

400244220401 is a deficient number, since it is larger than the sum of its proper divisors (1).

400244220401 is an equidigital number, since it uses as much as digits as its factorization.

400244220401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 400244220401 its reverse (104022442004), we get a palindrome (504266662405).

The spelling of 400244220401 in words is "four hundred billion, two hundred forty-four million, two hundred twenty thousand, four hundred one".