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22032111333313 is a prime number
BaseRepresentation
bin1010000001001110000000…
…01010110110111111000001
32220000020201201110002211001
411000213000022312333001
510341433231000131223
6114505225012252001
74432524154244344
oct500470012667701
986006651402731
1022032111333313
117024847520914
122579b79611001
13c3a808468743
1456250771245b
1528318bee29ad
hex1409c02b6fc1

22032111333313 has 2 divisors, whose sum is σ = 22032111333314. Its totient is φ = 22032111333312.

The previous prime is 22032111333301. The next prime is 22032111333343. The reversal of 22032111333313 is 31333311123022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19804698361009 + 2227412972304 = 4450247^2 + 1492452^2 .

It is a cyclic number.

It is not a de Polignac number, because 22032111333313 - 213 = 22032111325121 is a prime.

It is a super-4 number, since 4×220321113333134 (a number of 54 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (22032111333343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11016055666656 + 11016055666657.

It is an arithmetic number, because the mean of its divisors is an integer number (11016055666657).

Almost surely, 222032111333313 is an apocalyptic number.

It is an amenable number.

22032111333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22032111333313 is an equidigital number, since it uses as much as digits as its factorization.

22032111333313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 22032111333313 its reverse (31333311123022), we get a palindrome (53365422456335).

The spelling of 22032111333313 in words is "twenty-two trillion, thirty-two billion, one hundred eleven million, three hundred thirty-three thousand, three hundred thirteen".