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221123101 is a prime number
BaseRepresentation
bin11010010111000…
…01001000011101
3120102002012212111
431023201020131
5423101414401
633535234021
75323341523
oct1513411035
9512065774
10221123101
11103900071
1262078911
1336a71994
1421520313
151462ce51
hexd2e121d

221123101 has 2 divisors, whose sum is σ = 221123102. Its totient is φ = 221123100.

The previous prime is 221123053. The next prime is 221123113. The reversal of 221123101 is 101321122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216060601 + 5062500 = 14699^2 + 2250^2 .

It is a cyclic number.

It is not a de Polignac number, because 221123101 - 211 = 221121053 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221123171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561550 + 110561551.

It is an arithmetic number, because the mean of its divisors is an integer number (110561551).

Almost surely, 2221123101 is an apocalyptic number.

It is an amenable number.

221123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221123101 is an equidigital number, since it uses as much as digits as its factorization.

221123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 221123101 is about 14870.2085055994. The cubic root of 221123101 is about 604.7065954318.

Adding to 221123101 its reverse (101321122), we get a palindrome (322444223).

The spelling of 221123101 in words is "two hundred twenty-one million, one hundred twenty-three thousand, one hundred one".