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157157301713 is a prime number
BaseRepresentation
bin1001001001011101001…
…1100001110111010001
3120000122120012010001012
42102113103201313101
510033324232123323
6200110322220305
714232335011046
oct2222723416721
9500576163035
10157157301713
1160717221935
122655b7b4695
1311a8733c929
14786c1771cd
15414c11b678
hex24974e1dd1

157157301713 has 2 divisors, whose sum is σ = 157157301714. Its totient is φ = 157157301712.

The previous prime is 157157301647. The next prime is 157157301739. The reversal of 157157301713 is 317103751751.

It is a happy number.

157157301713 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., 97663750144 + 59493551569 = 312512^2 + 243913^2 .

It is a cyclic number.

It is not a de Polignac number, because 157157301713 - 210 = 157157300689 is a prime.

It is not a weakly prime, because it can be changed into another prime (157157301113) 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, 78578650856 + 78578650857.

It is an arithmetic number, because the mean of its divisors is an integer number (78578650857).

Almost surely, 2157157301713 is an apocalyptic number.

It is an amenable number.

157157301713 is a deficient number, since it is larger than the sum of its proper divisors (1).

157157301713 is an equidigital number, since it uses as much as digits as its factorization.

157157301713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77175, while the sum is 41.

The spelling of 157157301713 in words is "one hundred fifty-seven billion, one hundred fifty-seven million, three hundred one thousand, seven hundred thirteen".