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10831327361 is a prime number
BaseRepresentation
bin10100001011001100…
…01111000010000001
31000221212001102212122
422011212033002001
5134140304433421
64550440534025
7532260522611
oct120546170201
930855042778
1010831327361
114659002618
122123481315
131037cbb55a
1474a724a41
15435d722ab
hex28598f081

10831327361 has 2 divisors, whose sum is σ = 10831327362. Its totient is φ = 10831327360.

The previous prime is 10831327333. The next prime is 10831327427. The reversal of 10831327361 is 16372313801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10472452225 + 358875136 = 102335^2 + 18944^2 .

It is an emirp because it is prime and its reverse (16372313801) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10831327361 is a prime.

It is a super-2 number, since 2×108313273612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10831327301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5415663680 + 5415663681.

It is an arithmetic number, because the mean of its divisors is an integer number (5415663681).

Almost surely, 210831327361 is an apocalyptic number.

It is an amenable number.

10831327361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10831327361 is an equidigital number, since it uses as much as digits as its factorization.

10831327361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 10831327361 in words is "ten billion, eight hundred thirty-one million, three hundred twenty-seven thousand, three hundred sixty-one".