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2200121022013 is a prime number
BaseRepresentation
bin100000000001000001011…
…011101001011000111101
321210022220012212002110021
4200001001123221120331
5242021321440201023
64402415513012141
7314645023060645
oct40010133513075
97708805762407
102200121022013
1177907aa61682
122b64940b4051
1312c6169776b5
14786b4a75525
153c36bdaa35d
hex200416e963d

2200121022013 has 2 divisors, whose sum is σ = 2200121022014. Its totient is φ = 2200121022012.

The previous prime is 2200121021963. The next prime is 2200121022017. The reversal of 2200121022013 is 3102201210022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1571267264004 + 628853758009 = 1253502^2 + 793003^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200121022013 - 213 = 2200121013821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200121022017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100060511006 + 1100060511007.

It is an arithmetic number, because the mean of its divisors is an integer number (1100060511007).

Almost surely, 22200121022013 is an apocalyptic number.

It is an amenable number.

2200121022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200121022013 is an equidigital number, since it uses as much as digits as its factorization.

2200121022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2200121022013 its reverse (3102201210022), we get a palindrome (5302322232035).

The spelling of 2200121022013 in words is "two trillion, two hundred billion, one hundred twenty-one million, twenty-two thousand, thirteen".