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233223312041 is a prime number
BaseRepresentation
bin1101100100110100110…
…0010101001010101001
3211021222201210210201222
43121031030111022221
512310120131441131
6255050304551425
722564330305026
oct3311514251251
9737881723658
10233223312041
118aa00530285
123924a022575
1318cba4258b5
14b40666254d
15610005387b
hex364d3152a9

233223312041 has 2 divisors, whose sum is σ = 233223312042. Its totient is φ = 233223312040.

The previous prime is 233223311989. The next prime is 233223312067. The reversal of 233223312041 is 140213322332.

It is a happy number.

It is an a-pointer prime, because the next prime (233223312067) can be obtained adding 233223312041 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229540642816 + 3682669225 = 479104^2 + 60685^2 .

It is a cyclic number.

It is not a de Polignac number, because 233223312041 - 230 = 232149570217 is a prime.

It is a super-4 number, since 4×2332233120414 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 233223312041.

It is not a weakly prime, because it can be changed into another prime (233223312541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116611656020 + 116611656021.

It is an arithmetic number, because the mean of its divisors is an integer number (116611656021).

Almost surely, 2233223312041 is an apocalyptic number.

It is an amenable number.

233223312041 is a deficient number, since it is larger than the sum of its proper divisors (1).

233223312041 is an equidigital number, since it uses as much as digits as its factorization.

233223312041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 233223312041 its reverse (140213322332), we get a palindrome (373436634373).

The spelling of 233223312041 in words is "two hundred thirty-three billion, two hundred twenty-three million, three hundred twelve thousand, forty-one".