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157117813 is a prime number
BaseRepresentation
bin10010101110101…
…10110101110101
3101221122102010021
421113112311311
5310210232223
623331325141
73615323266
oct1127266565
9357572107
10157117813
1180763a36
12447507b1
1326721928
1416c1c96d
15dbd865d
hex95d6d75

157117813 has 2 divisors, whose sum is σ = 157117814. Its totient is φ = 157117812.

The previous prime is 157117801. The next prime is 157117843. The reversal of 157117813 is 318711751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115412049 + 41705764 = 10743^2 + 6458^2 .

It is a cyclic number.

It is not a de Polignac number, because 157117813 - 217 = 156986741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157117843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78558906 + 78558907.

It is an arithmetic number, because the mean of its divisors is an integer number (78558907).

Almost surely, 2157117813 is an apocalyptic number.

It is an amenable number.

157117813 is a deficient number, since it is larger than the sum of its proper divisors (1).

157117813 is an equidigital number, since it uses as much as digits as its factorization.

157117813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 34.

The square root of 157117813 is about 12534.6644550223. The cubic root of 157117813 is about 539.6039768982.

The spelling of 157117813 in words is "one hundred fifty-seven million, one hundred seventeen thousand, eight hundred thirteen".