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3322400113 is a prime number
BaseRepresentation
bin1100011000000111…
…1100110101110001
322120112200102011001
43012001330311301
523301013300423
61305402322001
7145221635464
oct30601746561
98515612131
103322400113
11145545441a
127887b9301
1340c426036
1423736b2db
15146a29cad
hexc607cd71

3322400113 has 2 divisors, whose sum is σ = 3322400114. Its totient is φ = 3322400112.

The previous prime is 3322400099. The next prime is 3322400129. The reversal of 3322400113 is 3110042233.

3322400113 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., 2977666624 + 344733489 = 54568^2 + 18567^2 .

It is a cyclic number.

It is not a de Polignac number, because 3322400113 - 213 = 3322391921 is a prime.

It is a super-2 number, since 2×33224001132 = 22076685021724825538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3322400513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1661200056 + 1661200057.

It is an arithmetic number, because the mean of its divisors is an integer number (1661200057).

Almost surely, 23322400113 is an apocalyptic number.

It is an amenable number.

3322400113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3322400113 is an equidigital number, since it uses as much as digits as its factorization.

3322400113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3322400113 is about 57640.2646853742. The cubic root of 3322400113 is about 1492.1665871213.

Adding to 3322400113 its reverse (3110042233), we get a palindrome (6432442346).

The spelling of 3322400113 in words is "three billion, three hundred twenty-two million, four hundred thousand, one hundred thirteen".