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2033223033013 is a prime number
BaseRepresentation
bin11101100101100101100…
…010010110000010110101
321012101002210211210110021
4131211211202112002311
5231303020044024023
64154014425525141
7266616106424434
oct35454542260265
97171083753407
102033223033013
1171431543a267
1228a0763437b1
131199695a0aa3
14705a0d9b11b
1537d4ea5435d
hex1d9658960b5

2033223033013 has 2 divisors, whose sum is σ = 2033223033014. Its totient is φ = 2033223033012.

The previous prime is 2033223032993. The next prime is 2033223033031. The reversal of 2033223033013 is 3103303223302.

Together with next prime (2033223033031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1134295291089 + 898927741924 = 1065033^2 + 948118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2033223033013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033223033043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016611516506 + 1016611516507.

It is an arithmetic number, because the mean of its divisors is an integer number (1016611516507).

Almost surely, 22033223033013 is an apocalyptic number.

It is an amenable number.

2033223033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033223033013 is an equidigital number, since it uses as much as digits as its factorization.

2033223033013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 2033223033013 its reverse (3103303223302), we get a palindrome (5136526256315).

The spelling of 2033223033013 in words is "two trillion, thirty-three billion, two hundred twenty-three million, thirty-three thousand, thirteen".