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210212122013 is a prime number
BaseRepresentation
bin1100001111000110011…
…1100110110110011101
3202002121001012020022122
43003301213212312131
511421003300401023
6240323051152325
721121152361325
oct3036147466635
9662531166278
10210212122013
1181172298663
12348a77456a5
1316a90c4931a
14a2624a0285
155704c832c8
hex30f19e6d9d

210212122013 has 2 divisors, whose sum is σ = 210212122014. Its totient is φ = 210212122012.

The previous prime is 210212121923. The next prime is 210212122037. The reversal of 210212122013 is 310221212012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127850583844 + 82361538169 = 357562^2 + 286987^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210212122013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210212121982 and 210212122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210212122073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105106061006 + 105106061007.

It is an arithmetic number, because the mean of its divisors is an integer number (105106061007).

Almost surely, 2210212122013 is an apocalyptic number.

It is an amenable number.

210212122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210212122013 is an equidigital number, since it uses as much as digits as its factorization.

210212122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 210212122013 its reverse (310221212012), we get a palindrome (520433334025).

The spelling of 210212122013 in words is "two hundred ten billion, two hundred twelve million, one hundred twenty-two thousand, thirteen".