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313044422132033 is a prime number
BaseRepresentation
bin100011100101101100101010…
…1100101001000000101000001
31112001101202101000112020100222
41013023121111211020011001
5312012404434031211113
63025442342221152425
7122636466415236464
oct10713312545100501
91461352330466328
10313044422132033
1190822437273529
122b13a1336bb715
1310589c68354457
1457436064652db
15262d00cd38e08
hex11cb655948141

313044422132033 has 2 divisors, whose sum is σ = 313044422132034. Its totient is φ = 313044422132032.

The previous prime is 313044422132003. The next prime is 313044422132069. The reversal of 313044422132033 is 330231224440313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270024164137744 + 43020257994289 = 16432412^2 + 6558983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313044422132033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313044422131984 and 313044422132002.

It is not a weakly prime, because it can be changed into another prime (313044422132003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156522211066016 + 156522211066017.

It is an arithmetic number, because the mean of its divisors is an integer number (156522211066017).

Almost surely, 2313044422132033 is an apocalyptic number.

It is an amenable number.

313044422132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

313044422132033 is an equidigital number, since it uses as much as digits as its factorization.

313044422132033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 313044422132033 its reverse (330231224440313), we get a palindrome (643275646572346).

The spelling of 313044422132033 in words is "three hundred thirteen trillion, forty-four billion, four hundred twenty-two million, one hundred thirty-two thousand, thirty-three".