Search a number
-
+
202221201211213 is a prime number
BaseRepresentation
bin101101111110101101001010…
…110111010011111101001101
3222112000011021012120201021211
4231332231022313103331031
5203001143010002224323
61554031045400054421
760410666611145152
oct5576551267237515
9875004235521254
10202221201211213
1159485591208098
121a81b9a7164411
1388ab4ba3468c2
1437d17b6204229
15185a38693670d
hexb7eb4add3f4d

202221201211213 has 2 divisors, whose sum is σ = 202221201211214. Its totient is φ = 202221201211212.

The previous prime is 202221201211207. The next prime is 202221201211279. The reversal of 202221201211213 is 312112102122202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199529806752004 + 2691394459209 = 14125502^2 + 1640547^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221201211213 - 229 = 202220664340301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202221201218213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101110600605606 + 101110600605607.

It is an arithmetic number, because the mean of its divisors is an integer number (101110600605607).

Almost surely, 2202221201211213 is an apocalyptic number.

It is an amenable number.

202221201211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221201211213 is an equidigital number, since it uses as much as digits as its factorization.

202221201211213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 202221201211213 its reverse (312112102122202), we get a palindrome (514333303333415).

The spelling of 202221201211213 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred one million, two hundred eleven thousand, two hundred thirteen".