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311334646433113 = 1013538732354821
BaseRepresentation
bin100011011001010000011111…
…1000000011100010101011001
31111211100022010210220110021001
41012302200333000130111121
5311301401323441324423
63022053055002145001
7122402120525501122
oct10662407700342531
91454308123813231
10311334646433113
1190223311485726
122ab028a71b2161
1310494967546864
1456c496a6a1049
1525ed7de1b6cad
hex11b283f01c559

311334646433113 has 8 divisors (see below), whose sum is σ = 315307867912776. Its totient is φ = 307378889664000.

The previous prime is 311334646433071. The next prime is 311334646433207.

311334646433113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 69482010634569 + 241852635798544 = 8335587^2 + 15551612^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311334646433113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311334646431113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4366141758 + ... + 4366213063.

It is an arithmetic number, because the mean of its divisors is an integer number (39413483489097).

Almost surely, 2311334646433113 is an apocalyptic number.

It is an amenable number.

311334646433113 is a deficient number, since it is larger than the sum of its proper divisors (3973221479663).

311334646433113 is a wasteful number, since it uses less digits than its factorization.

311334646433113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732355275.

The product of its digits is 1679616, while the sum is 46.

The spelling of 311334646433113 in words is "three hundred eleven trillion, three hundred thirty-four billion, six hundred forty-six million, four hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 101 353 35653 8732354821 881967836921 3082521251813 311334646433113