Search a number
-
+
147352313 is a prime number
BaseRepresentation
bin10001100100001…
…10101011111001
3101021021021101002
420302012223321
5300210233223
622342134345
73436321403
oct1062065371
9337237332
10147352313
11761a3a79
12414213b5
13246b2a24
14157d9b73
15ce09e28
hex8c86af9

147352313 has 2 divisors, whose sum is σ = 147352314. Its totient is φ = 147352312.

The previous prime is 147352297. The next prime is 147352333. The reversal of 147352313 is 313253741.

147352313 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., 120187369 + 27164944 = 10963^2 + 5212^2 .

It is a cyclic number.

It is not a de Polignac number, because 147352313 - 24 = 147352297 is a prime.

It is equal to p8303843 and since 147352313 and 8303843 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (147352333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73676156 + 73676157.

It is an arithmetic number, because the mean of its divisors is an integer number (73676157).

Almost surely, 2147352313 is an apocalyptic number.

It is an amenable number.

147352313 is a deficient number, since it is larger than the sum of its proper divisors (1).

147352313 is an equidigital number, since it uses as much as digits as its factorization.

147352313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 29.

The square root of 147352313 is about 12138.8761011883. The cubic root of 147352313 is about 528.1845001553.

The spelling of 147352313 in words is "one hundred forty-seven million, three hundred fifty-two thousand, three hundred thirteen".