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212122020013 is a prime number
BaseRepresentation
bin1100010110001101110…
…1010010100010101101
3202021112011000002211121
43011203131102202231
511433411214120023
6241240355020541
721216403264141
oct3054335224255
9667464002747
10212122020013
1181a62394262
123513b29a751
1317006837197
14a3a3dc3221
1557b7798d5d
hex31637528ad

212122020013 has 2 divisors, whose sum is σ = 212122020014. Its totient is φ = 212122020012.

The previous prime is 212122020007. The next prime is 212122020101. The reversal of 212122020013 is 310020221212.

It is a happy number.

212122020013 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., 212025253444 + 96766569 = 460462^2 + 9837^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122020013 - 25 = 212122019981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212122020613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061010006 + 106061010007.

It is an arithmetic number, because the mean of its divisors is an integer number (106061010007).

Almost surely, 2212122020013 is an apocalyptic number.

It is an amenable number.

212122020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122020013 is an equidigital number, since it uses as much as digits as its factorization.

212122020013 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 212122020013 its reverse (310020221212), we get a palindrome (522142241225).

The spelling of 212122020013 in words is "two hundred twelve billion, one hundred twenty-two million, twenty thousand, thirteen".