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120022200013 is a prime number
BaseRepresentation
bin110111111000111100…
…0010110111011001101
3102110210112221111012011
41233301320112323031
53431301140400023
6131045404141221
711446155603322
oct1576170267315
9373715844164
10120022200013
11469a0448341
121b317237811
13b41998ac81
145b48284b49
1531c6ddd50d
hex1bf1e16ecd

120022200013 has 2 divisors, whose sum is σ = 120022200014. Its totient is φ = 120022200012.

The previous prime is 120022199977. The next prime is 120022200017. The reversal of 120022200013 is 310002220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112599171364 + 7423028649 = 335558^2 + 86157^2 .

It is a cyclic number.

It is not a de Polignac number, because 120022200013 - 217 = 120022068941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120022199966 and 120022200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120022200017) 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, 60011100006 + 60011100007.

It is an arithmetic number, because the mean of its divisors is an integer number (60011100007).

Almost surely, 2120022200013 is an apocalyptic number.

It is an amenable number.

120022200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

120022200013 is an equidigital number, since it uses as much as digits as its factorization.

120022200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 120022200013 its reverse (310002220021), we get a palindrome (430024420034).

The spelling of 120022200013 in words is "one hundred twenty billion, twenty-two million, two hundred thousand, thirteen".