Search a number
-
+
212202110053 is a prime number
BaseRepresentation
bin1100010110100000111…
…0110011110001100101
3202021201201201002201101
43011220032303301211
511434042220010203
6241252335400101
721221365113613
oct3055016636145
9667651632641
10212202110053
1181aa361707a
1235162083031
131701a2c953b
14a3b08b06b3
1557be81941d
hex31683b3c65

212202110053 has 2 divisors, whose sum is σ = 212202110054. Its totient is φ = 212202110052.

The previous prime is 212202110051. The next prime is 212202110059. The reversal of 212202110053 is 350011202212.

212202110053 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., 210540569409 + 1661540644 = 458847^2 + 40762^2 .

It is a cyclic number.

It is not a de Polignac number, because 212202110053 - 21 = 212202110051 is a prime.

It is a super-3 number, since 3×2122021100533 (a number of 35 digits) contains 333 as substring.

Together with 212202110051, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 212202110053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212202110051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106101055026 + 106101055027.

It is an arithmetic number, because the mean of its divisors is an integer number (106101055027).

Almost surely, 2212202110053 is an apocalyptic number.

It is an amenable number.

212202110053 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202110053 is an equidigital number, since it uses as much as digits as its factorization.

212202110053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 212202110053 its reverse (350011202212), we get a palindrome (562213312265).

The spelling of 212202110053 in words is "two hundred twelve billion, two hundred two million, one hundred ten thousand, fifty-three".