Search a number
-
+
10212313032121 is a prime number
BaseRepresentation
bin1001010010011011110101…
…0010100110010110111001
31100011021202122122210000111
42110212331102212112321
52314304304114011441
633415245530104321
72102546431343164
oct224467522462671
940137678583014
1010212313032121
113288021521522
12118b26ab7b0a1
1359102b420a05
142743c8634adb
1512a9a436d081
hex949bd4a65b9

10212313032121 has 2 divisors, whose sum is σ = 10212313032122. Its totient is φ = 10212313032120.

The previous prime is 10212313031981. The next prime is 10212313032157. The reversal of 10212313032121 is 12123031321201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5764853822121 + 4447459210000 = 2401011^2 + 2108900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10212313032121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212313032092 and 10212313032101.

It is not a weakly prime, because it can be changed into another prime (10212313032421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106156516060 + 5106156516061.

It is an arithmetic number, because the mean of its divisors is an integer number (5106156516061).

Almost surely, 210212313032121 is an apocalyptic number.

It is an amenable number.

10212313032121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212313032121 is an equidigital number, since it uses as much as digits as its factorization.

10212313032121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10212313032121 its reverse (12123031321201), we get a palindrome (22335344353322).

The spelling of 10212313032121 in words is "ten trillion, two hundred twelve billion, three hundred thirteen million, thirty-two thousand, one hundred twenty-one".