Search a number
-
+
122000020013 is a prime number
BaseRepresentation
bin111000110011111000…
…1001001001000101101
3102122220101120011011202
41301213301021020231
53444324001120023
6132013535455245
711546163026354
oct1614761111055
9378811504152
10122000020013
1147815915823
121b789687525
13b67366a871
145c94c0899b
15329086e128
hex1c67c4922d

122000020013 has 2 divisors, whose sum is σ = 122000020014. Its totient is φ = 122000020012.

The previous prime is 122000019983. The next prime is 122000020097. The reversal of 122000020013 is 310020000221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114824744164 + 7175275849 = 338858^2 + 84707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122000020013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122000019976 and 122000020003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122000020913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000010006 + 61000010007.

It is an arithmetic number, because the mean of its divisors is an integer number (61000010007).

Almost surely, 2122000020013 is an apocalyptic number.

It is an amenable number.

122000020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000020013 is an equidigital number, since it uses as much as digits as its factorization.

122000020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 122000020013 its reverse (310020000221), we get a palindrome (432020020234).

The spelling of 122000020013 in words is "one hundred twenty-two billion, twenty thousand, thirteen".