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221313101 is a prime number
BaseRepresentation
bin11010011000011…
…11100001001101
3120102102212111112
431030033201031
5423124004401
633543301405
75325062462
oct1514174115
9512385445
10221313101
11103a1a899
126214a865
1336b0a2c9
142156d669
15146693bb
hexd30f84d

221313101 has 2 divisors, whose sum is σ = 221313102. Its totient is φ = 221313100.

The previous prime is 221313097. The next prime is 221313133. The reversal of 221313101 is 101313122.

221313101 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., 137499076 + 83814025 = 11726^2 + 9155^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313101 - 22 = 221313097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221313161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656550 + 110656551.

It is an arithmetic number, because the mean of its divisors is an integer number (110656551).

Almost surely, 2221313101 is an apocalyptic number.

It is an amenable number.

221313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313101 is an equidigital number, since it uses as much as digits as its factorization.

221313101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 221313101 is about 14876.5957463393. The cubic root of 221313101 is about 604.8797438736.

Adding to 221313101 its reverse (101313122), we get a palindrome (322626223).

The spelling of 221313101 in words is "two hundred twenty-one million, three hundred thirteen thousand, one hundred one".