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2122000201213 is a prime number
BaseRepresentation
bin11110111000010001000…
…100010111010111111101
321111212020211202012200221
4132320101010113113331
5234231324022414323
64302500004421341
7306211100050624
oct36702104272775
97455224665627
102122000201213
11748a3187a762
122a33116a7851
13125146c66549
14749c37046bb
153a2e888555d
hex1ee111175fd

2122000201213 has 2 divisors, whose sum is σ = 2122000201214. Its totient is φ = 2122000201212.

The previous prime is 2122000201207. The next prime is 2122000201219. The reversal of 2122000201213 is 3121020002212.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2122000201207) and next prime (2122000201219).

It can be written as a sum of positive squares in only one way, i.e., 1702850134489 + 419150066724 = 1304933^2 + 647418^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122000201213 - 233 = 2113410266621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122000201219) 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, 1061000100606 + 1061000100607.

It is an arithmetic number, because the mean of its divisors is an integer number (1061000100607).

Almost surely, 22122000201213 is an apocalyptic number.

It is an amenable number.

2122000201213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122000201213 is an equidigital number, since it uses as much as digits as its factorization.

2122000201213 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 2122000201213 its reverse (3121020002212), we get a palindrome (5243020203425).

The spelling of 2122000201213 in words is "two trillion, one hundred twenty-two billion, two hundred one thousand, two hundred thirteen".