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2233300213013 is a prime number
BaseRepresentation
bin100000011111111011000…
…100001101110100010101
321220111112112100122000012
4200133323010031310111
5243042244323304023
64425544114130005
7320231155411142
oct40377304156425
97814475318005
102233300213013
11791156825991
123009b3880905
131327a38a38ac
147a14140d3c9
153d15eb71978
hex207fb10dd15

2233300213013 has 2 divisors, whose sum is σ = 2233300213014. Its totient is φ = 2233300213012.

The previous prime is 2233300213009. The next prime is 2233300213021. The reversal of 2233300213013 is 3103120033322.

2233300213013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1608326167204 + 624974045809 = 1268198^2 + 790553^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233300213013 - 22 = 2233300213009 is a prime.

It is a super-2 number, since 2×22333002130132 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2233300213013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2233300213093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116650106506 + 1116650106507.

It is an arithmetic number, because the mean of its divisors is an integer number (1116650106507).

Almost surely, 22233300213013 is an apocalyptic number.

It is an amenable number.

2233300213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233300213013 is an equidigital number, since it uses as much as digits as its factorization.

2233300213013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2233300213013 its reverse (3103120033322), we get a palindrome (5336420246335).

The spelling of 2233300213013 in words is "two trillion, two hundred thirty-three billion, three hundred million, two hundred thirteen thousand, thirteen".