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310001301157 is a prime number
BaseRepresentation
bin1001000001011011000…
…01000111011010100101
31002122011112010202201111
410200231201013122211
520034340313114112
6354225043425021
731253056403632
oct4405541073245
91078145122644
10310001301157
1110a51a71a949
12500b6985171
1323304b833a2
141100b523189
1580e57275a7
hex482d8476a5

310001301157 has 2 divisors, whose sum is σ = 310001301158. Its totient is φ = 310001301156.

The previous prime is 310001301079. The next prime is 310001301161. The reversal of 310001301157 is 751103100013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249066872356 + 60934428801 = 499066^2 + 246849^2 .

It is a cyclic number.

It is not a de Polignac number, because 310001301157 - 211 = 310001299109 is a prime.

It is a super-2 number, since 2×3100013011572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310001302157) 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, 155000650578 + 155000650579.

It is an arithmetic number, because the mean of its divisors is an integer number (155000650579).

Almost surely, 2310001301157 is an apocalyptic number.

It is an amenable number.

310001301157 is a deficient number, since it is larger than the sum of its proper divisors (1).

310001301157 is an equidigital number, since it uses as much as digits as its factorization.

310001301157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The spelling of 310001301157 in words is "three hundred ten billion, one million, three hundred one thousand, one hundred fifty-seven".