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12210200000213 is a prime number
BaseRepresentation
bin1011000110101110100010…
…1000100011011011010101
31121020021122211110111010112
42301223220220203123111
53100022442200001323
641545142145332405
72400105065356325
oct261535050433325
947207584414115
1012210200000213
113988353643146
121452503337105
136a7555c83637
14302d96605285
15162936aac178
hexb1ae8a236d5

12210200000213 has 2 divisors, whose sum is σ = 12210200000214. Its totient is φ = 12210200000212.

The previous prime is 12210200000189. The next prime is 12210200000233. The reversal of 12210200000213 is 31200000201221.

It is a happy number.

12210200000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11645142600004 + 565057400209 = 3412498^2 + 751703^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210200000213 - 220 = 12210198951637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210200000233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105100000106 + 6105100000107.

It is an arithmetic number, because the mean of its divisors is an integer number (6105100000107).

Almost surely, 212210200000213 is an apocalyptic number.

It is an amenable number.

12210200000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210200000213 is an equidigital number, since it uses as much as digits as its factorization.

12210200000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12210200000213 its reverse (31200000201221), we get a palindrome (43410200201434).

The spelling of 12210200000213 in words is "twelve trillion, two hundred ten billion, two hundred million, two hundred thirteen", and thus it is an aban number.