Search a number
-
+
310135311307 is a prime number
BaseRepresentation
bin1001000001101011000…
…00010100101111001011
31002122111212022012002101
410200311200110233023
520040124114430212
6354250232014231
731256304436033
oct4406540245713
91078455265071
10310135311307
1110a589330738
1250133831377
1323326874233
14110212488c3
158102399157
hex4835814bcb

310135311307 has 2 divisors, whose sum is σ = 310135311308. Its totient is φ = 310135311306.

The previous prime is 310135311259. The next prime is 310135311341. The reversal of 310135311307 is 703113531013.

It is a strong prime.

It is an emirp because it is prime and its reverse (703113531013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 310135311307 - 27 = 310135311179 is a prime.

It is a super-2 number, since 2×3101353113072 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (310135312307) 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, 155067655653 + 155067655654.

It is an arithmetic number, because the mean of its divisors is an integer number (155067655654).

Almost surely, 2310135311307 is an apocalyptic number.

310135311307 is a deficient number, since it is larger than the sum of its proper divisors (1).

310135311307 is an equidigital number, since it uses as much as digits as its factorization.

310135311307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 28.

The spelling of 310135311307 in words is "three hundred ten billion, one hundred thirty-five million, three hundred eleven thousand, three hundred seven".