Search a number
-
+
157157303021 is a prime number
BaseRepresentation
bin1001001001011101001…
…1100010001011101101
3120000122120012011211122
42102113103202023231
510033324232144041
6200110322230325
714232335014625
oct2222723421355
9500576164748
10157157303021
1160717222914
122655b7b53a5
1311a873403c4
14786c177885
15414c11bc4b
hex24974e22ed

157157303021 has 2 divisors, whose sum is σ = 157157303022. Its totient is φ = 157157303020.

The previous prime is 157157302949. The next prime is 157157303047. The reversal of 157157303021 is 120303751751.

157157303021 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., 140164876996 + 16992426025 = 374386^2 + 130355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157157303021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157157300021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78578651510 + 78578651511.

It is an arithmetic number, because the mean of its divisors is an integer number (78578651511).

Almost surely, 2157157303021 is an apocalyptic number.

It is an amenable number.

157157303021 is a deficient number, since it is larger than the sum of its proper divisors (1).

157157303021 is an equidigital number, since it uses as much as digits as its factorization.

157157303021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 35.

The spelling of 157157303021 in words is "one hundred fifty-seven billion, one hundred fifty-seven million, three hundred three thousand, twenty-one".