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21140412401 is a prime number
BaseRepresentation
bin10011101100000100…
…010001011111110001
32000120022102012222002
4103230010101133301
5321243421144101
613413424223345
71345610353253
oct235404213761
960508365862
1021140412401
118a69236809
12411ba6ab55
131cbba37a84
141047943cd3
1583ae35d6b
hex4ec1117f1

21140412401 has 2 divisors, whose sum is σ = 21140412402. Its totient is φ = 21140412400.

The previous prime is 21140412379. The next prime is 21140412409. The reversal of 21140412401 is 10421404112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17973424225 + 3166988176 = 134065^2 + 56276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21140412401 is a prime.

It is not a weakly prime, because it can be changed into another prime (21140412409) 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, 10570206200 + 10570206201.

It is an arithmetic number, because the mean of its divisors is an integer number (10570206201).

Almost surely, 221140412401 is an apocalyptic number.

It is an amenable number.

21140412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21140412401 is an equidigital number, since it uses as much as digits as its factorization.

21140412401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21140412401 its reverse (10421404112), we get a palindrome (31561816513).

The spelling of 21140412401 in words is "twenty-one billion, one hundred forty million, four hundred twelve thousand, four hundred one".