Search a number
-
+
122111001359 is a prime number
BaseRepresentation
bin111000110111001100…
…0100000001100001111
3102200012010101120221222
41301232120200030033
54000040404020414
6132032542313555
711552011246214
oct1615630401417
9380163346858
10122111001359
1147872527746
121b7ba8888bb
13b6906577b9
145ca5857b0b
15329a49268e
hex1c6e62030f

122111001359 has 2 divisors, whose sum is σ = 122111001360. Its totient is φ = 122111001358.

The previous prime is 122111001323. The next prime is 122111001361. The reversal of 122111001359 is 953100111221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122111001359 is a prime.

It is a super-2 number, since 2×1221110013592 (a number of 23 digits) contains 22 as substring.

Together with 122111001361, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111001319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055500679 + 61055500680.

It is an arithmetic number, because the mean of its divisors is an integer number (61055500680).

Almost surely, 2122111001359 is an apocalyptic number.

122111001359 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111001359 is an equidigital number, since it uses as much as digits as its factorization.

122111001359 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 122111001359 in words is "one hundred twenty-two billion, one hundred eleven million, one thousand, three hundred fifty-nine".