Search a number
-
+
157031117 is a prime number
BaseRepresentation
bin10010101110000…
…01101011001101
3101221111000012022
421113001223031
5310144443432
623325415525
73614512445
oct1127015315
9357430168
10157031117
1180704891
124470a5a5
13266c1329
1416bd9125
15dbbcb12
hex95c1acd

157031117 has 2 divisors, whose sum is σ = 157031118. Its totient is φ = 157031116.

The previous prime is 157031113. The next prime is 157031123. The reversal of 157031117 is 711130751.

157031117 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., 131010916 + 26020201 = 11446^2 + 5101^2 .

It is a cyclic number.

It is not a de Polignac number, because 157031117 - 22 = 157031113 is a prime.

It is a super-3 number, since 3×1570311173 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157031113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78515558 + 78515559.

It is an arithmetic number, because the mean of its divisors is an integer number (78515559).

Almost surely, 2157031117 is an apocalyptic number.

It is an amenable number.

157031117 is a deficient number, since it is larger than the sum of its proper divisors (1).

157031117 is an equidigital number, since it uses as much as digits as its factorization.

157031117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 735, while the sum is 26.

The square root of 157031117 is about 12531.2057281013. The cubic root of 157031117 is about 539.5047093218.

Adding to 157031117 its reverse (711130751), we get a palindrome (868161868).

The spelling of 157031117 in words is "one hundred fifty-seven million, thirty-one thousand, one hundred seventeen".