Search a number
-
+
221013300131333 is a prime number
BaseRepresentation
bin110010010000001010101011…
…001111101011011000000101
31001222112122221220001122221222
4302100022223033223120011
5212432040214313200313
62102020035230050125
764360453416340523
oct6220125317533005
91058478856048858
10221013300131333
116447023a134856
1220955a37049945
139642607155938
143c8115a85d313
151a840e3126208
hexc902ab3eb605

221013300131333 has 2 divisors, whose sum is σ = 221013300131334. Its totient is φ = 221013300131332.

The previous prime is 221013300131293. The next prime is 221013300131363. The reversal of 221013300131333 is 333131003310122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219833345861284 + 1179954270049 = 14826778^2 + 1086257^2 .

It is a cyclic number.

It is not a de Polignac number, because 221013300131333 - 210 = 221013300130309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221013300131363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110506650065666 + 110506650065667.

It is an arithmetic number, because the mean of its divisors is an integer number (110506650065667).

Almost surely, 2221013300131333 is an apocalyptic number.

It is an amenable number.

221013300131333 is a deficient number, since it is larger than the sum of its proper divisors (1).

221013300131333 is an equidigital number, since it uses as much as digits as its factorization.

221013300131333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 221013300131333 its reverse (333131003310122), we get a palindrome (554144303441455).

The spelling of 221013300131333 in words is "two hundred twenty-one trillion, thirteen billion, three hundred million, one hundred thirty-one thousand, three hundred thirty-three".