Base | Representation |
---|---|
bin | 1100111111100001111… |
… | …1011000111000010001 |
3 | 210100011001100012200211 |
4 | 3033320133120320101 |
5 | 12124114322410113 |
6 | 250313050244121 |
7 | 22061260221166 |
oct | 3177037307021 |
9 | 710131305624 |
10 | 223212310033 |
11 | 867335912a9 |
12 | 37315426641 |
13 | 1808338577b |
14 | ab36c7806d |
15 | 5c16220b3d |
hex | 33f87d8e11 |
223212310033 has 2 divisors, whose sum is σ = 223212310034. Its totient is φ = 223212310032.
The previous prime is 223212309961. The next prime is 223212310037. The reversal of 223212310033 is 330013212322.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 201863301264 + 21349008769 = 449292^2 + 146113^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-223212310033 is a prime.
It is a super-3 number, since 3×2232123100333 (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 = 223212309986 and 223212310013.
It is not a weakly prime, because it can be changed into another prime (223212310037) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111606155016 + 111606155017.
It is an arithmetic number, because the mean of its divisors is an integer number (111606155017).
Almost surely, 2223212310033 is an apocalyptic number.
It is an amenable number.
223212310033 is a deficient number, since it is larger than the sum of its proper divisors (1).
223212310033 is an equidigital number, since it uses as much as digits as its factorization.
223212310033 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 22.
Adding to 223212310033 its reverse (330013212322), we get a palindrome (553225522355).
The spelling of 223212310033 in words is "two hundred twenty-three billion, two hundred twelve million, three hundred ten thousand, thirty-three".
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