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212011011013 is a prime number
BaseRepresentation
bin1100010101110011010…
…1110100101111000101
3202021020102010021010011
43011130311310233011
511433144304323023
6241221351430221
721213554600554
oct3053465645705
9667212107104
10212011011013
1181a0576358a
123510a085371
1316cb983a799
14a393367d9b
1557acb6c50d
hex315cd74bc5

212011011013 has 2 divisors, whose sum is σ = 212011011014. Its totient is φ = 212011011012.

The previous prime is 212011010977. The next prime is 212011011059. The reversal of 212011011013 is 310110110212.

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., 194003249764 + 18007761249 = 440458^2 + 134193^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011011013 - 29 = 212011010501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212011010984 and 212011011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212011011413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005505506 + 106005505507.

It is an arithmetic number, because the mean of its divisors is an integer number (106005505507).

Almost surely, 2212011011013 is an apocalyptic number.

It is an amenable number.

212011011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011011013 is an equidigital number, since it uses as much as digits as its factorization.

212011011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 212011011013 its reverse (310110110212), we get a palindrome (522121121225).

The spelling of 212011011013 in words is "two hundred twelve billion, eleven million, eleven thousand, thirteen".