Search a number
-
+
122122021230029 is a prime number
BaseRepresentation
bin11011110001000110111111…
…101100011101010111001101
3121000101202021122002121202102
4123301012333230131113031
5112001321344413330104
61111422025420204445
734503011350060442
oct3361067754352715
9530352248077672
10122122021230029
1135a037272a7157
1211844095999725
13531b0988469b2
142222a474899c9
15e1ba19c91a1e
hex6f11bfb1d5cd

122122021230029 has 2 divisors, whose sum is σ = 122122021230030. Its totient is φ = 122122021230028.

The previous prime is 122122021229993. The next prime is 122122021230061. The reversal of 122122021230029 is 920032120221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119569807300804 + 2552213929225 = 10934798^2 + 1597565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122122021230029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122021229983 and 122122021230010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122021230529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061010615014 + 61061010615015.

It is an arithmetic number, because the mean of its divisors is an integer number (61061010615015).

Almost surely, 2122122021230029 is an apocalyptic number.

It is an amenable number.

122122021230029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122021230029 is an equidigital number, since it uses as much as digits as its factorization.

122122021230029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 122122021230029 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-one million, two hundred thirty thousand, twenty-nine".