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222301012033 is a prime number
BaseRepresentation
bin1100111100001000101…
…1000100000001000001
3210020210112120110212001
43033002023010001001
512120233024341113
6250042414104001
722026553265542
oct3170213040101
9706715513761
10222301012033
1186306142661
12371001ab001
1317c69634799
14aa8bc1a4c9
155bb12117dd
hex33c22c4041

222301012033 has 2 divisors, whose sum is σ = 222301012034. Its totient is φ = 222301012032.

The previous prime is 222301012013. The next prime is 222301012069. The reversal of 222301012033 is 330210103222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217983470769 + 4317541264 = 466887^2 + 65708^2 .

It is a cyclic number.

It is not a de Polignac number, because 222301012033 - 221 = 222298914881 is a prime.

It is a super-3 number, since 3×2223010120333 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222301012033.

It is not a weakly prime, because it can be changed into another prime (222301012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111150506016 + 111150506017.

It is an arithmetic number, because the mean of its divisors is an integer number (111150506017).

Almost surely, 2222301012033 is an apocalyptic number.

It is an amenable number.

222301012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222301012033 is an equidigital number, since it uses as much as digits as its factorization.

222301012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 222301012033 its reverse (330210103222), we get a palindrome (552511115255).

The spelling of 222301012033 in words is "two hundred twenty-two billion, three hundred one million, twelve thousand, thirty-three".