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221123132233 is a prime number
BaseRepresentation
bin1100110111101111110…
…1110011101101001001
3210010202110011222112021
43031323331303231021
512110330010212413
6245325500044441
721655431416623
oct3157375635511
9703673158467
10221123132233
1185861275083
1236a31833721
1317b0c5b67a3
14a9b9607c13
155b42ae518d
hex337bf73b49

221123132233 has 2 divisors, whose sum is σ = 221123132234. Its totient is φ = 221123132232.

The previous prime is 221123132159. The next prime is 221123132273. The reversal of 221123132233 is 332231321122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210338725129 + 10784407104 = 458627^2 + 103848^2 .

It is a cyclic number.

It is not a de Polignac number, because 221123132233 - 29 = 221123131721 is a prime.

It is a super-4 number, since 4×2211231322334 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221123132198 and 221123132207.

It is not a weakly prime, because it can be changed into another prime (221123132273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561566116 + 110561566117.

It is an arithmetic number, because the mean of its divisors is an integer number (110561566117).

Almost surely, 2221123132233 is an apocalyptic number.

It is an amenable number.

221123132233 is a deficient number, since it is larger than the sum of its proper divisors (1).

221123132233 is an equidigital number, since it uses as much as digits as its factorization.

221123132233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 25.

Adding to 221123132233 its reverse (332231321122), we get a palindrome (553354453355).

The spelling of 221123132233 in words is "two hundred twenty-one billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred thirty-three".