Search a number
-
+
22122220112233 is a prime number
BaseRepresentation
bin1010000011110101110110…
…00100100100100101101001
32220022212022120000100120021
411001322323010210211221
510344422301322042413
6115014450240200441
74442164144235533
oct501727304444551
986285276010507
1022122220112233
117059a8758a13a
122593526909121
13c46168986337
14566a14c48853
152856b2baa18d
hex141ebb124969

22122220112233 has 2 divisors, whose sum is σ = 22122220112234. Its totient is φ = 22122220112232.

The previous prime is 22122220112131. The next prime is 22122220112249. The reversal of 22122220112233 is 33221102222122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21663690698329 + 458529413904 = 4654427^2 + 677148^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122220112233 - 29 = 22122220111721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22122220112198 and 22122220112207.

It is not a weakly prime, because it can be changed into another prime (22122220112533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061110056116 + 11061110056117.

It is an arithmetic number, because the mean of its divisors is an integer number (11061110056117).

Almost surely, 222122220112233 is an apocalyptic number.

It is an amenable number.

22122220112233 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122220112233 is an equidigital number, since it uses as much as digits as its factorization.

22122220112233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 22122220112233 its reverse (33221102222122), we get a palindrome (55343322334355).

The spelling of 22122220112233 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twelve thousand, two hundred thirty-three".