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146400013 is a prime number
BaseRepresentation
bin10001011100111…
…10001100001101
3101012110220001201
420232132030031
5244434300023
622305505501
73425244124
oct1056361415
9335426051
10146400013
1175703551
1241042291
132443b436
141562cabb
15ccbcbad
hex8b9e30d

146400013 has 2 divisors, whose sum is σ = 146400014. Its totient is φ = 146400012.

The previous prime is 146399989. The next prime is 146400019. The reversal of 146400013 is 310004641.

It is a happy number.

146400013 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., 79602084 + 66797929 = 8922^2 + 8173^2 .

It is an emirp because it is prime and its reverse (310004641) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146400013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146400019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73200006 + 73200007.

It is an arithmetic number, because the mean of its divisors is an integer number (73200007).

Almost surely, 2146400013 is an apocalyptic number.

It is an amenable number.

146400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

146400013 is an equidigital number, since it uses as much as digits as its factorization.

146400013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 146400013 is about 12099.5873070118. The cubic root of 146400013 is about 527.0442000550.

Adding to 146400013 its reverse (310004641), we get a palindrome (456404654).

The spelling of 146400013 in words is "one hundred forty-six million, four hundred thousand, thirteen".