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138360401 is a prime number
BaseRepresentation
bin10000011111100…
…11011001010001
3100122100102210022
420033303121101
5240410013101
621421313225
73300021044
oct1017633121
9318312708
10138360401
1171112243
123a405815
1322884c7a
1414538c5b
15c230a1b
hex83f3651

138360401 has 2 divisors, whose sum is σ = 138360402. Its totient is φ = 138360400.

The previous prime is 138360373. The next prime is 138360403. The reversal of 138360401 is 104063831.

138360401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137358400 + 1002001 = 11720^2 + 1001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138360401 is a prime.

Together with 138360403, 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 (138360403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69180200 + 69180201.

It is an arithmetic number, because the mean of its divisors is an integer number (69180201).

Almost surely, 2138360401 is an apocalyptic number.

It is an amenable number.

138360401 is a deficient number, since it is larger than the sum of its proper divisors (1).

138360401 is an equidigital number, since it uses as much as digits as its factorization.

138360401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 138360401 is about 11762.6698074884. The cubic root of 138360401 is about 517.2143955266.

The spelling of 138360401 in words is "one hundred thirty-eight million, three hundred sixty thousand, four hundred one".