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12223344310033 is a prime number
BaseRepresentation
bin1011000111011111100000…
…0110000111011100010001
31121021112120212210121110011
42301313320012013130101
53100231402120410113
641555154333434521
72401051603224313
oct261677006073421
947245525717404
1012223344310033
11399298922370a
121454b7133ba41
136a886c21125c
143038821b77b3
15162e55a1763d
hexb1df8187711

12223344310033 has 2 divisors, whose sum is σ = 12223344310034. Its totient is φ = 12223344310032.

The previous prime is 12223344309989. The next prime is 12223344310039. The reversal of 12223344310033 is 33001344332221.

It is a happy number.

12223344310033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11710549396624 + 512794913409 = 3422068^2 + 716097^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223344310033 - 213 = 12223344301841 is a prime.

It is a super-2 number, since 2×122233443100332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12223344309977 and 12223344310004.

It is not a weakly prime, because it can be changed into another prime (12223344310039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111672155016 + 6111672155017.

It is an arithmetic number, because the mean of its divisors is an integer number (6111672155017).

Almost surely, 212223344310033 is an apocalyptic number.

It is an amenable number.

12223344310033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223344310033 is an equidigital number, since it uses as much as digits as its factorization.

12223344310033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 12223344310033 its reverse (33001344332221), we get a palindrome (45224688642254).

The spelling of 12223344310033 in words is "twelve trillion, two hundred twenty-three billion, three hundred forty-four million, three hundred ten thousand, thirty-three".