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310135311293 = 38326133449
BaseRepresentation
bin1001000001101011000…
…00010100101110111101
31002122111212022012001212
410200311200110232331
520040124114430133
6354250232014205
731256304436013
oct4406540245675
91078455265055
10310135311293
1110a589330725
1250133831365
1323326874222
14110212488b3
158102399148
hex4835814bbd

310135311293 has 12 divisors (see below), whose sum is σ = 311544735900. Its totient is φ = 308731409856.

The previous prime is 310135311259. The next prime is 310135311307. The reversal of 310135311293 is 392113531013.

It can be written as a sum of positive squares in 2 ways, for example, as 1296144004 + 308839167289 = 36002^2 + 555733^2 .

It is not a de Polignac number, because 310135311293 - 26 = 310135311229 is a prime.

It is a super-2 number, since 2×3101353112932 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310135317293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89918633 + ... + 89922081.

It is an arithmetic number, because the mean of its divisors is an integer number (25962061325).

Almost surely, 2310135311293 is an apocalyptic number.

It is an amenable number.

310135311293 is a deficient number, since it is larger than the sum of its proper divisors (1409424607).

310135311293 is an frugal number, since it uses more digits than its factorization.

310135311293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The spelling of 310135311293 in words is "three hundred ten billion, one hundred thirty-five million, three hundred eleven thousand, two hundred ninety-three".

Divisors: 1 383 613 3449 146689 234779 1320967 2114237 89920357 505930361 809752771 310135311293