Search a number
-
+
157123782547129 is a prime number
BaseRepresentation
bin100011101110011100111011…
…001111101001011010111001
3202121022212221120010200111101
4203232130323033221122321
5131043304001313002004
61314101400315131401
745044550543255316
oct4356347317513271
9677285846120441
10157123782547129
1146078905048332
1215757784a43b61
13698992ac15068
142ab2b900a5d0d
15132723bc03ba4
hex8ee73b3e96b9

157123782547129 has 2 divisors, whose sum is σ = 157123782547130. Its totient is φ = 157123782547128.

The previous prime is 157123782547117. The next prime is 157123782547211. The reversal of 157123782547129 is 921745287321751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106685762054400 + 50438020492729 = 10328880^2 + 7101973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157123782547129 is a prime.

It is a super-2 number, since 2×1571237825471292 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (157123782517129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78561891273564 + 78561891273565.

It is an arithmetic number, because the mean of its divisors is an integer number (78561891273565).

Almost surely, 2157123782547129 is an apocalyptic number.

It is an amenable number.

157123782547129 is a deficient number, since it is larger than the sum of its proper divisors (1).

157123782547129 is an equidigital number, since it uses as much as digits as its factorization.

157123782547129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 59270400, while the sum is 64.

The spelling of 157123782547129 in words is "one hundred fifty-seven trillion, one hundred twenty-three billion, seven hundred eighty-two million, five hundred forty-seven thousand, one hundred twenty-nine".