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322131003013 is a prime number
BaseRepresentation
bin1001011000000001000…
…00010000011010000101
31010210110212022110120101
410230000200100122011
520234211014044023
6403552425204101
732162464230121
oct4540040203205
91123425273511
10322131003013
1111468460a436
1252521030631
13244b8b5aa71
141183c464581
1585a55681ad
hex4b00810685

322131003013 has 2 divisors, whose sum is σ = 322131003014. Its totient is φ = 322131003012.

The previous prime is 322131002989. The next prime is 322131003017. The reversal of 322131003013 is 310300131223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318527041924 + 3603961089 = 564382^2 + 60033^2 .

It is an emirp because it is prime and its reverse (310300131223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 322131003013 - 25 = 322131002981 is a prime.

It is a super-2 number, since 2×3221310030132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (322131003017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161065501506 + 161065501507.

It is an arithmetic number, because the mean of its divisors is an integer number (161065501507).

Almost surely, 2322131003013 is an apocalyptic number.

It is an amenable number.

322131003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

322131003013 is an equidigital number, since it uses as much as digits as its factorization.

322131003013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 322131003013 its reverse (310300131223), we get a palindrome (632431134236).

The spelling of 322131003013 in words is "three hundred twenty-two billion, one hundred thirty-one million, three thousand, thirteen".