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310331343133013 = 1579901199639709
BaseRepresentation
bin100011010001111101010010…
…1011110000101100101010101
31111200210101102212201222220212
41012203322211132011211111
5311133432042320224023
63020004130110335205
7122236461660243416
oct10643724536054525
91450711385658825
10310331343133013
118a976868971554
122a980362aba505
1310421173ab1897
14568c18d65d80d
1525d266c949e78
hex11a3ea5785955

310331343133013 has 8 divisors (see below), whose sum is σ = 312339520530360. Its totient is φ = 308323565035200.

The previous prime is 310331343132887. The next prime is 310331343133079.

310331343133013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 112881126449809 + 197450216683204 = 10624553^2 + 14051698^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 310331343133013 - 216 = 310331343067477 is a prime.

It is a super-2 number, since 2×3103313431330132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310331343133093) 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, 98265398 + ... + 101374311.

It is an arithmetic number, because the mean of its divisors is an integer number (39042440066295).

Almost surely, 2310331343133013 is an apocalyptic number.

It is an amenable number.

310331343133013 is a deficient number, since it is larger than the sum of its proper divisors (2008177397347).

310331343133013 is a wasteful number, since it uses less digits than its factorization.

310331343133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199649767.

The product of its (nonzero) digits is 26244, while the sum is 32.

The spelling of 310331343133013 in words is "three hundred ten trillion, three hundred thirty-one billion, three hundred forty-three million, one hundred thirty-three thousand, thirteen".

Divisors: 1 157 9901 1554457 199639709 31343434313 1976632758809 310331343133013