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313301311010001 = 32139250440696251
BaseRepresentation
bin100011100111100100010010…
…1010110011011010011010001
31112002022022110001021100111200
41013033020211112123103101
5312031112041104310001
63030200345121301413
7122664162360541536
oct10717104526332321
91462268401240450
10313301311010001
1190911381353756
122b17ba87194869
13105a82576b02a2
145751c15b48d8d
152634a4581c086
hex11cf22559b4d1

313301311010001 has 12 divisors (see below), whose sum is σ = 455802067178640. Its totient is φ = 207364896495000.

The previous prime is 313301311009991. The next prime is 313301311010029. The reversal of 313301311010001 is 100010113103313.

313301311010001 is a `hidden beast` number, since 313 + 30 + 1 + 311 + 0 + 10 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 313301311010001 - 25 = 313301311009969 is a prime.

It is a super-2 number, since 2×3133013110100012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313301311018001) 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, 125220346875 + ... + 125220349376.

It is an arithmetic number, because the mean of its divisors is an integer number (37983505598220).

Almost surely, 2313301311010001 is an apocalyptic number.

It is an amenable number.

313301311010001 is a deficient number, since it is larger than the sum of its proper divisors (142500756168639).

313301311010001 is a wasteful number, since it uses less digits than its factorization.

313301311010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250440696396 (or 250440696393 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 313301311010001 its reverse (100010113103313), we get a palindrome (413311424113314).

The spelling of 313301311010001 in words is "three hundred thirteen trillion, three hundred one billion, three hundred eleven million, ten thousand, one".

Divisors: 1 3 9 139 417 1251 250440696251 751322088753 2253966266259 34811256778889 104433770336667 313301311010001