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223113231083233 is a prime number
BaseRepresentation
bin110010101110101110011000…
…111000100010011011100001
31002020222102020200121211222201
4302232232120320202123201
5213220441344124130413
62110304445310133201
764665253600043641
oct6256563070423341
91066872220554881
10223113231083233
11650aa87643a897
1221034a097b1201
139765644b0227a
143d14a49118521
151abda4924e9dd
hexcaeb98e226e1

223113231083233 has 2 divisors, whose sum is σ = 223113231083234. Its totient is φ = 223113231083232.

The previous prime is 223113231083203. The next prime is 223113231083263. The reversal of 223113231083233 is 332380132311322.

223113231083233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (223113231083203) and next prime (223113231083263).

It can be written as a sum of positive squares in only one way, i.e., 148481462978209 + 74631768105024 = 12185297^2 + 8638968^2 .

It is a cyclic number.

It is not a de Polignac number, because 223113231083233 - 229 = 223112694212321 is a prime.

It is a super-3 number, since 3×2231132310832333 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223113231083192 and 223113231083201.

It is not a weakly prime, because it can be changed into another prime (223113231083203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556615541616 + 111556615541617.

It is an arithmetic number, because the mean of its divisors is an integer number (111556615541617).

Almost surely, 2223113231083233 is an apocalyptic number.

It is an amenable number.

223113231083233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223113231083233 is an equidigital number, since it uses as much as digits as its factorization.

223113231083233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 37.

Adding to 223113231083233 its reverse (332380132311322), we get a palindrome (555493363394555).

The spelling of 223113231083233 in words is "two hundred twenty-three trillion, one hundred thirteen billion, two hundred thirty-one million, eighty-three thousand, two hundred thirty-three".