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253212101 is a prime number
BaseRepresentation
bin11110001011110…
…11010111000101
3122122110111200222
433011323113011
51004310241401
641043114125
76163160462
oct1705732705
9578414628
10253212101
1111aa27aaa
1270972945
13405c875c
14258b4669
151736ac1b
hexf17b5c5

253212101 has 2 divisors, whose sum is σ = 253212102. Its totient is φ = 253212100.

The previous prime is 253212073. The next prime is 253212103. The reversal of 253212101 is 101212352.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135163876 + 118048225 = 11626^2 + 10865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253212101 is a prime.

Together with 253212103, 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 253212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126606050 + 126606051.

It is an arithmetic number, because the mean of its divisors is an integer number (126606051).

Almost surely, 2253212101 is an apocalyptic number.

It is an amenable number.

253212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

253212101 is an equidigital number, since it uses as much as digits as its factorization.

253212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 253212101 is about 15912.6396616023. The cubic root of 253212101 is about 632.6470475233.

Adding to 253212101 its reverse (101212352), we get a palindrome (354424453).

The spelling of 253212101 in words is "two hundred fifty-three million, two hundred twelve thousand, one hundred one".