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223112033231 is a prime number
BaseRepresentation
bin1100111111001010000…
…0110111001111001111
3210022220001122121210012
43033302200313033033
512123413140030411
6250255105103435
722055631664043
oct3176240671717
9708801577705
10223112033231
1186691a2090a
12372a7927b7b
1318068675c99
14ab27814023
155c0c51418b
hex33f28373cf

223112033231 has 2 divisors, whose sum is σ = 223112033232. Its totient is φ = 223112033230.

The previous prime is 223112033203. The next prime is 223112033311. The reversal of 223112033231 is 132330211322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223112033231 - 26 = 223112033167 is a prime.

It is a super-3 number, since 3×2231120332313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223112033197 and 223112033206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223112053231) 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, 111556016615 + 111556016616.

It is an arithmetic number, because the mean of its divisors is an integer number (111556016616).

Almost surely, 2223112033231 is an apocalyptic number.

223112033231 is a deficient number, since it is larger than the sum of its proper divisors (1).

223112033231 is an equidigital number, since it uses as much as digits as its factorization.

223112033231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 223112033231 its reverse (132330211322), we get a palindrome (355442244553).

The spelling of 223112033231 in words is "two hundred twenty-three billion, one hundred twelve million, thirty-three thousand, two hundred thirty-one".