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33220123222201 is a prime number
BaseRepresentation
bin1111000110110101010011…
…01001001110000010111001
311100121210221111122022202121
413203122221221032002321
513323234303021102301
6154353040335201241
76666034423225516
oct743325151160271
9140553844568677
1033220123222201
11a64863656a683
123886348076221
13156c84b34a696
1482bc10b6430d
153c91e944d3a1
hex1e36a9a4e0b9

33220123222201 has 2 divisors, whose sum is σ = 33220123222202. Its totient is φ = 33220123222200.

The previous prime is 33220123222199. The next prime is 33220123222217. The reversal of 33220123222201 is 10222232102233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33209587226176 + 10535996025 = 5762776^2 + 102645^2 .

It is a cyclic number.

It is not a de Polignac number, because 33220123222201 - 21 = 33220123222199 is a prime.

It is a super-2 number, since 2×332201232222012 (a number of 28 digits) contains 22 as substring.

Together with 33220123222199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33220123222901) 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, 16610061611100 + 16610061611101.

It is an arithmetic number, because the mean of its divisors is an integer number (16610061611101).

Almost surely, 233220123222201 is an apocalyptic number.

It is an amenable number.

33220123222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33220123222201 is an equidigital number, since it uses as much as digits as its factorization.

33220123222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 33220123222201 its reverse (10222232102233), we get a palindrome (43442355324434).

The spelling of 33220123222201 in words is "thirty-three trillion, two hundred twenty billion, one hundred twenty-three million, two hundred twenty-two thousand, two hundred one".