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2121313030121 is a prime number
BaseRepresentation
bin11110110111101000000…
…111000000111111101001
321111210110221201022011202
4132313220013000333221
5234223422113430441
64302303500133545
7306155054150435
oct36675007007751
97453427638152
102121313030121
117487099a296a
122a315b5372b5
1312506779952c
147495a3499c5
153a2a839919b
hex1ede81c0fe9

2121313030121 has 2 divisors, whose sum is σ = 2121313030122. Its totient is φ = 2121313030120.

The previous prime is 2121313030117. The next prime is 2121313030139. The reversal of 2121313030121 is 1210303131212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1849600000000 + 271713030121 = 1360000^2 + 521261^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121313030121 - 22 = 2121313030117 is a prime.

It is a super-2 number, since 2×21213130301212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121313030093 and 2121313030102.

It is not a weakly prime, because it can be changed into another prime (2121313080121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060656515060 + 1060656515061.

It is an arithmetic number, because the mean of its divisors is an integer number (1060656515061).

Almost surely, 22121313030121 is an apocalyptic number.

It is an amenable number.

2121313030121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121313030121 is an equidigital number, since it uses as much as digits as its factorization.

2121313030121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2121313030121 its reverse (1210303131212), we get a palindrome (3331616161333).

The spelling of 2121313030121 in words is "two trillion, one hundred twenty-one billion, three hundred thirteen million, thirty thousand, one hundred twenty-one".