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210222122010013 is a prime number
BaseRepresentation
bin101111110011001000100110…
…111010000000010110011101
31000120100001001010121112122101
4233303020212322000112131
5210023234401213310023
62023034413140045101
762165022104630131
oct5763104672002635
91016301033545571
10210222122010013
1160a8a779439073
121b6b2557393791
13903bb26937309
1439cab3ac953c1
15194855e6361ad
hexbf3226e8059d

210222122010013 has 2 divisors, whose sum is σ = 210222122010014. Its totient is φ = 210222122010012.

The previous prime is 210222122009993. The next prime is 210222122010041. The reversal of 210222122010013 is 310010221222012.

210222122010013 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., 128490885085924 + 81731236924089 = 11335382^2 + 9040533^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210222122010013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210222122610013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105111061005006 + 105111061005007.

It is an arithmetic number, because the mean of its divisors is an integer number (105111061005007).

Almost surely, 2210222122010013 is an apocalyptic number.

It is an amenable number.

210222122010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210222122010013 is an equidigital number, since it uses as much as digits as its factorization.

210222122010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 210222122010013 its reverse (310010221222012), we get a palindrome (520232343232025).

The spelling of 210222122010013 in words is "two hundred ten trillion, two hundred twenty-two billion, one hundred twenty-two million, ten thousand, thirteen".