Search a number
-
+
222102001203829 is a prime number
BaseRepresentation
bin110010100000000000100110…
…111000101011101001110101
31002010101202002100012110000021
4302200000212320223221311
5213102404344302010304
62104212130100245141
764532224431640465
oct6240004670535165
91063352070173007
10222102001203829
116484aa2554632a
1220ab0a329a07b1
1396c118a0c2996
143cbbb19481ba5
151aa25b1b8ba54
hexca0026e2ba75

222102001203829 has 2 divisors, whose sum is σ = 222102001203830. Its totient is φ = 222102001203828.

The previous prime is 222102001203751. The next prime is 222102001203869. The reversal of 222102001203829 is 928302100201222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152324346900625 + 69777654303204 = 12341975^2 + 8353302^2 .

It is a cyclic number.

It is not a de Polignac number, because 222102001203829 - 213 = 222102001195637 is a prime.

It is a super-2 number, since 2×2221020012038292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222102001203794 and 222102001203803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222102001203869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111051000601914 + 111051000601915.

It is an arithmetic number, because the mean of its divisors is an integer number (111051000601915).

Almost surely, 2222102001203829 is an apocalyptic number.

It is an amenable number.

222102001203829 is a deficient number, since it is larger than the sum of its proper divisors (1).

222102001203829 is an equidigital number, since it uses as much as digits as its factorization.

222102001203829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 222102001203829 in words is "two hundred twenty-two trillion, one hundred two billion, one million, two hundred three thousand, eight hundred twenty-nine".