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153132313 is a prime number
BaseRepresentation
bin10010010000010…
…01110100011001
3101200010221001011
421020021310121
5303200213223
623110053521
73536413615
oct1110116431
9350127034
10153132313
1179491634
124334a2a1
1325957849
14164a2345
15d69c80d
hex9209d19

153132313 has 2 divisors, whose sum is σ = 153132314. Its totient is φ = 153132312.

The previous prime is 153132299. The next prime is 153132323. The reversal of 153132313 is 313231351.

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., 135559449 + 17572864 = 11643^2 + 4192^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-153132313 is a prime.

It is not a weakly prime, because it can be changed into another prime (153132323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76566156 + 76566157.

It is an arithmetic number, because the mean of its divisors is an integer number (76566157).

Almost surely, 2153132313 is an apocalyptic number.

It is an amenable number.

153132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

153132313 is an equidigital number, since it uses as much as digits as its factorization.

153132313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 22.

The square root of 153132313 is about 12374.6641570590. The cubic root of 153132313 is about 535.0022569562.

Adding to 153132313 its reverse (313231351), we get a palindrome (466363664).

The spelling of 153132313 in words is "one hundred fifty-three million, one hundred thirty-two thousand, three hundred thirteen".