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223113321121 is a prime number
BaseRepresentation
bin1100111111001010010…
…1110001101010100001
3210022220011002001102211
43033302211301222201
512123414002233441
6250255152442121
722055645636605
oct3176245615241
9708804061384
10223113321121
1186692720489
12372a8249341
1318068a07252
14ab27a6b505
155c0c6baa81
hex33f2971aa1

223113321121 has 2 divisors, whose sum is σ = 223113321122. Its totient is φ = 223113321120.

The previous prime is 223113321091. The next prime is 223113321131. The reversal of 223113321121 is 121123311322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117446717025 + 105666604096 = 342705^2 + 325064^2 .

It is a cyclic number.

It is not a de Polignac number, because 223113321121 - 215 = 223113288353 is a prime.

It is a super-3 number, since 3×2231133211213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223113321092 and 223113321101.

It is not a weakly prime, because it can be changed into another prime (223113321131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556660560 + 111556660561.

It is an arithmetic number, because the mean of its divisors is an integer number (111556660561).

Almost surely, 2223113321121 is an apocalyptic number.

It is an amenable number.

223113321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

223113321121 is an equidigital number, since it uses as much as digits as its factorization.

223113321121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 223113321121 its reverse (121123311322), we get a palindrome (344236632443).

The spelling of 223113321121 in words is "two hundred twenty-three billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred twenty-one".