Search a number
-
+
2222120100029 is a prime number
BaseRepresentation
bin100000010101100000101…
…011011110000010111101
321212102200101000001012112
4200111200223132002331
5242401400221200104
64420454453343405
7316354131126434
oct40254053360275
97772611001175
102222120100029
11787439958595
122ba7b3637b65
13131711565b1b
14797a065611b
153cc083a586e
hex20560ade0bd

2222120100029 has 2 divisors, whose sum is σ = 2222120100030. Its totient is φ = 2222120100028.

The previous prime is 2222120100001. The next prime is 2222120100049. The reversal of 2222120100029 is 9200010212222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2067490267129 + 154629832900 = 1437877^2 + 393230^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222120100029 - 212 = 2222120095933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2222120099977 and 2222120100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222120100049) 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, 1111060050014 + 1111060050015.

It is an arithmetic number, because the mean of its divisors is an integer number (1111060050015).

Almost surely, 22222120100029 is an apocalyptic number.

It is an amenable number.

2222120100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222120100029 is an equidigital number, since it uses as much as digits as its factorization.

2222120100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 2222120100029 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, twenty-nine".