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152121313 is a prime number
BaseRepresentation
bin10010001000100…
…10111111100001
3101121020120012201
421010102333201
5302420340223
623032253201
73525003241
oct1104227741
9347216181
10152121313
1178960aa3
1242b41201
1325692616
14162bbb21
15d54cead
hex9112fe1

152121313 has 2 divisors, whose sum is σ = 152121314. Its totient is φ = 152121312.

The previous prime is 152121271. The next prime is 152121331. The reversal of 152121313 is 313121251.

Together with next prime (152121331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98069409 + 54051904 = 9903^2 + 7352^2 .

It is a cyclic number.

It is not a de Polignac number, because 152121313 - 225 = 118566881 is a prime.

It is not a weakly prime, because it can be changed into another prime (152121113) 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, 76060656 + 76060657.

It is an arithmetic number, because the mean of its divisors is an integer number (76060657).

Almost surely, 2152121313 is an apocalyptic number.

It is an amenable number.

152121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

152121313 is an equidigital number, since it uses as much as digits as its factorization.

152121313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 152121313 is about 12333.7469164889. The cubic root of 152121313 is about 533.8222708531.

Adding to 152121313 its reverse (313121251), we get a palindrome (465242564).

The spelling of 152121313 in words is "one hundred fifty-two million, one hundred twenty-one thousand, three hundred thirteen".