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122020042013 is a prime number
BaseRepresentation
bin111000110100011110…
…1100001010100011101
3102122221210020101012022
41301220331201110131
53444344112321023
6132015532545525
711546525146502
oct1615075412435
9378853211168
10122020042013
1147826150631
121b7943222a5
13b67785acbc
145c9773b4a9
1532924c67c8
hex1c68f6151d

122020042013 has 2 divisors, whose sum is σ = 122020042014. Its totient is φ = 122020042012.

The previous prime is 122020042007. The next prime is 122020042033. The reversal of 122020042013 is 310240020221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80486824804 + 41533217209 = 283702^2 + 203797^2 .

It is a cyclic number.

It is not a de Polignac number, because 122020042013 - 232 = 117725074717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122020041982 and 122020042000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122020042033) 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, 61010021006 + 61010021007.

It is an arithmetic number, because the mean of its divisors is an integer number (61010021007).

Almost surely, 2122020042013 is an apocalyptic number.

It is an amenable number.

122020042013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122020042013 is an equidigital number, since it uses as much as digits as its factorization.

122020042013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 122020042013 its reverse (310240020221), we get a palindrome (432260062234).

The spelling of 122020042013 in words is "one hundred twenty-two billion, twenty million, forty-two thousand, thirteen".