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10221149 is a prime number
BaseRepresentation
bin100110111111…
…011001011101
3201020021210002
4212333121131
510104034044
61003024045
7152610161
oct46773135
921207702
1010221149
115851334
12350b025
13216b423
141500ca1
15d6d74e
hex9bf65d

10221149 has 2 divisors, whose sum is σ = 10221150. Its totient is φ = 10221148.

The previous prime is 10221091. The next prime is 10221151. The reversal of 10221149 is 94112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6853924 + 3367225 = 2618^2 + 1835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221149 is a prime.

Together with 10221151, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110574 + 5110575.

It is an arithmetic number, because the mean of its divisors is an integer number (5110575).

Almost surely, 210221149 is an apocalyptic number.

It is an amenable number.

10221149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221149 is an equidigital number, since it uses as much as digits as its factorization.

10221149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10221149 is about 3197.0531744092. The cubic root of 10221149 is about 217.0200736030.

It can be divided in two parts, 1022 and 1149, that multiplied together give a triangular number (1174278 = T1532).

The spelling of 10221149 in words is "ten million, two hundred twenty-one thousand, one hundred forty-nine".