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223230332212033 is a prime number
BaseRepresentation
bin110010110000011011011100…
…101001111001001101000001
31002021101121111200001112210011
4302300123130221321031001
5213224401210021241113
62110434333205504521
765006600506156546
oct6260333451711501
91067347450045704
10223230332212033
11651454a7a27093
122105364a712141
1397736b7552623
143d1a597460bcd
151ac1aee98a63d
hexcb06dca79341

223230332212033 has 2 divisors, whose sum is σ = 223230332212034. Its totient is φ = 223230332212032.

The previous prime is 223230332211979. The next prime is 223230332212169. The reversal of 223230332212033 is 330212233032322.

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., 150501296802609 + 72729035409424 = 12267897^2 + 8528132^2 .

It is a cyclic number.

It is not a de Polignac number, because 223230332212033 - 229 = 223229795341121 is a prime.

It is a super-3 number, since 3×2232303322120333 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223230332211986 and 223230332212004.

It is not a weakly prime, because it can be changed into another prime (223230332216033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615166106016 + 111615166106017.

It is an arithmetic number, because the mean of its divisors is an integer number (111615166106017).

Almost surely, 2223230332212033 is an apocalyptic number.

It is an amenable number.

223230332212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

223230332212033 is an equidigital number, since it uses as much as digits as its factorization.

223230332212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 223230332212033 its reverse (330212233032322), we get a palindrome (553442565244355).

The spelling of 223230332212033 in words is "two hundred twenty-three trillion, two hundred thirty billion, three hundred thirty-two million, two hundred twelve thousand, thirty-three".