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152238309217 is a prime number
BaseRepresentation
bin1000110111001000011…
…1000011111101100001
3112112221202020101212221
42031302013003331201
54443241001343332
6153534243151041
713666415164051
oct2156207037541
9475852211787
10152238309217
1159622613a85
1225608375481
1311482204b97
147522b61561
153e60367297
hex23721c3f61

152238309217 has 2 divisors, whose sum is σ = 152238309218. Its totient is φ = 152238309216.

The previous prime is 152238309199. The next prime is 152238309283. The reversal of 152238309217 is 712903832251.

152238309217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117879608896 + 34358700321 = 343336^2 + 185361^2 .

It is a cyclic number.

It is not a de Polignac number, because 152238309217 - 27 = 152238309089 is a prime.

It is not a weakly prime, because it can be changed into another prime (152238309287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76119154608 + 76119154609.

It is an arithmetic number, because the mean of its divisors is an integer number (76119154609).

Almost surely, 2152238309217 is an apocalyptic number.

It is an amenable number.

152238309217 is a deficient number, since it is larger than the sum of its proper divisors (1).

152238309217 is an equidigital number, since it uses as much as digits as its factorization.

152238309217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 152238309217 in words is "one hundred fifty-two billion, two hundred thirty-eight million, three hundred nine thousand, two hundred seventeen".