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153012317 is a prime number
BaseRepresentation
bin10010001111011…
…00100001011101
3101122220211102212
421013230201131
5303132343232
623103330205
73535404023
oct1107544135
9348824385
10153012317
117940a467
12432b0965
1325915043
1416470713
15d676eb2
hex91ec85d

153012317 has 2 divisors, whose sum is σ = 153012318. Its totient is φ = 153012316.

The previous prime is 153012289. The next prime is 153012319. The reversal of 153012317 is 713210351.

153012317 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., 105966436 + 47045881 = 10294^2 + 6859^2 .

It is a cyclic number.

It is not a de Polignac number, because 153012317 - 26 = 153012253 is a prime.

It is a super-3 number, since 3×1530123173 (a number of 26 digits) contains 333 as substring.

Together with 153012319, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 153012292 and 153012301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153012319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76506158 + 76506159.

It is an arithmetic number, because the mean of its divisors is an integer number (76506159).

Almost surely, 2153012317 is an apocalyptic number.

It is an amenable number.

153012317 is a deficient number, since it is larger than the sum of its proper divisors (1).

153012317 is an equidigital number, since it uses as much as digits as its factorization.

153012317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 153012317 is about 12369.8147520486. The cubic root of 153012317 is about 534.8624760794.

Adding to 153012317 its reverse (713210351), we get a palindrome (866222668).

The spelling of 153012317 in words is "one hundred fifty-three million, twelve thousand, three hundred seventeen".