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1138086401 is a prime number
BaseRepresentation
bin100001111010101…
…1101001000000001
32221022111210001012
41003311131020001
54312322231101
6304533050305
740126401104
oct10365351001
92838453035
101138086401
11534469181
12279186995
13151a2750a
14ab21473b
1569daabbb
hex43d5d201

1138086401 has 2 divisors, whose sum is σ = 1138086402. Its totient is φ = 1138086400.

The previous prime is 1138086379. The next prime is 1138086419. The reversal of 1138086401 is 1046808311.

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., 1038386176 + 99700225 = 32224^2 + 9985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1138086401 - 26 = 1138086337 is a prime.

It is a super-2 number, since 2×11380864012 = 2590481312282265602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1138086431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 569043200 + 569043201.

It is an arithmetic number, because the mean of its divisors is an integer number (569043201).

Almost surely, 21138086401 is an apocalyptic number.

It is an amenable number.

1138086401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1138086401 is an equidigital number, since it uses as much as digits as its factorization.

1138086401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1138086401 is about 33735.5361747816. The cubic root of 1138086401 is about 1044.0590878929.

The spelling of 1138086401 in words is "one billion, one hundred thirty-eight million, eighty-six thousand, four hundred one".