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12211313033233 is a prime number
BaseRepresentation
bin1011000110110010101011…
…1110011100000000010001
31121020101112101211102101201
42301230222332130000101
53100032232114030413
641545444425431201
72400144502113466
oct261545276340021
947211471742351
1012211313033233
11398887494a346
12145277403b501
136a76a2748562
1430306037766d
1516299e6699dd
hexb1b2af9c011

12211313033233 has 2 divisors, whose sum is σ = 12211313033234. Its totient is φ = 12211313033232.

The previous prime is 12211313033189. The next prime is 12211313033251. The reversal of 12211313033233 is 33233031311221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10842452812944 + 1368860220289 = 3292788^2 + 1169983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211313033233 is a prime.

It is a super-2 number, since 2×122113130332332 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211313036233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105656516616 + 6105656516617.

It is an arithmetic number, because the mean of its divisors is an integer number (6105656516617).

Almost surely, 212211313033233 is an apocalyptic number.

It is an amenable number.

12211313033233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211313033233 is an equidigital number, since it uses as much as digits as its factorization.

12211313033233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 12211313033233 its reverse (33233031311221), we get a palindrome (45444344344454).

The spelling of 12211313033233 in words is "twelve trillion, two hundred eleven billion, three hundred thirteen million, thirty-three thousand, two hundred thirty-three".