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311202321313 = 1337646990273
BaseRepresentation
bin1001000011101010001…
…10101001001110100001
31002202021020001220122111
410201311012221032201
520044320243240223
6354544145435321
731324612041262
oct4416506511641
91082236056574
10311202321313
1110aa86663094
125039103bb41
1323466943cc0
14110c2c3a969
158165db530d
hex48751a93a1

311202321313 has 8 divisors (see below), whose sum is σ = 344198825768. Its totient is φ = 279499797504.

The previous prime is 311202321293. The next prime is 311202321343. The reversal of 311202321313 is 313123202113.

It can be written as a sum of positive squares in 4 ways, for example, as 10490470929 + 300711850384 = 102423^2 + 548372^2 .

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-311202321313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311202321343) 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 in 7 ways as a sum of consecutive naturals, for example, 323494656 + ... + 323495617.

It is an arithmetic number, because the mean of its divisors is an integer number (43024853221).

Almost surely, 2311202321313 is an apocalyptic number.

It is an amenable number.

311202321313 is a deficient number, since it is larger than the sum of its proper divisors (32996504455).

311202321313 is a wasteful number, since it uses less digits than its factorization.

311202321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646990323.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 311202321313 its reverse (313123202113), we get a palindrome (624325523426).

The spelling of 311202321313 in words is "three hundred eleven billion, two hundred two million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 13 37 481 646990273 8410873549 23938640101 311202321313