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223113231003233 is a prime number
BaseRepresentation
bin110010101110101110011000…
…111000001110111001100001
31002020222102020200110210020202
4302232232120320032321201
5213220441344114100413
62110304445304314545
764665253566261464
oct6256563070167141
91066872220423222
10223113231003233
11650aa87639577a
1221034a09772a55
139765644aa4a2c
143d14a490d72db
151abda49235e58
hexcaeb98e0ee61

223113231003233 has 2 divisors, whose sum is σ = 223113231003234. Its totient is φ = 223113231003232.

The previous prime is 223113231003119. The next prime is 223113231003337. The reversal of 223113231003233 is 332300132311322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215856979653184 + 7256251350049 = 14692072^2 + 2693743^2 .

It is a cyclic number.

It is not a de Polignac number, because 223113231003233 - 210 = 223113231002209 is a prime.

It is a super-3 number, since 3×2231132310032333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223113231003196 and 223113231003205.

It is not a weakly prime, because it can be changed into another prime (223113231083233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556615501616 + 111556615501617.

It is an arithmetic number, because the mean of its divisors is an integer number (111556615501617).

Almost surely, 2223113231003233 is an apocalyptic number.

It is an amenable number.

223113231003233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223113231003233 is an equidigital number, since it uses as much as digits as its factorization.

223113231003233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 223113231003233 its reverse (332300132311322), we get a palindrome (555413363314555).

The spelling of 223113231003233 in words is "two hundred twenty-three trillion, one hundred thirteen billion, two hundred thirty-one million, three thousand, two hundred thirty-three".