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33322221133 is a prime number
BaseRepresentation
bin11111000010001010…
…001011111001001101
310012000021122020000021
4133002022023321031
51021220442034013
623150310502141
72256520130515
oct370212137115
9105007566007
1033322221133
111314a585a33
12655b664951
1331b0757816
14188176a845
15d0061aa8d
hex7c228be4d

33322221133 has 2 divisors, whose sum is σ = 33322221134. Its totient is φ = 33322221132.

The previous prime is 33322221029. The next prime is 33322221137. The reversal of 33322221133 is 33112222333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22770206404 + 10552014729 = 150898^2 + 102723^2 .

It is an emirp because it is prime and its reverse (33112222333) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33322221133 is a prime.

It is a super-2 number, since 2×333222211332 (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 33322221098 and 33322221107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33322221137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16661110566 + 16661110567.

It is an arithmetic number, because the mean of its divisors is an integer number (16661110567).

Almost surely, 233322221133 is an apocalyptic number.

It is an amenable number.

33322221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33322221133 is an equidigital number, since it uses as much as digits as its factorization.

33322221133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 25.

Adding to 33322221133 its reverse (33112222333), we get a palindrome (66434443466).

The spelling of 33322221133 in words is "thirty-three billion, three hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-three".