Base | Representation |
---|---|
bin | 1010001011111101101100… |
… | …01011111100011111110011 |
3 | 2221022112200212211010020200 |
4 | 11011332312023330133303 |
5 | 10414010341111031311 |
6 | 115351004211210243 |
7 | 4501304241023406 |
oct | 505766613743763 |
9 | 87275625733220 |
10 | 22401311033331 |
11 | 7157385093a3a |
12 | 26196358a6983 |
13 | c665859853b9 |
14 | 57632d063d3d |
15 | 28ca998cb556 |
hex | 145fb62fc7f3 |
22401311033331 has 24 divisors (see below), whose sum is σ = 32704618851840. Its totient is φ = 14774641491456.
The previous prime is 22401311033281. The next prime is 22401311033383. The reversal of 22401311033331 is 13333011310422.
22401311033331 is a `hidden beast` number, since 224 + 0 + 1 + 3 + 1 + 103 + 3 + 331 = 666.
It is not a de Polignac number, because 22401311033331 - 213 = 22401311025139 is a prime.
It is a super-2 number, since 2×224013110333312 (a number of 28 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22401311033295 and 22401311033304.
It is not an unprimeable number, because it can be changed into a prime (22401311035331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27356716 + ... + 28163673.
It is an arithmetic number, because the mean of its divisors is an integer number (1362692452160).
Almost surely, 222401311033331 is an apocalyptic number.
22401311033331 is a deficient number, since it is larger than the sum of its proper divisors (10303307818509).
22401311033331 is a wasteful number, since it uses less digits than its factorization.
22401311033331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55520875 (or 55520872 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 22401311033331 its reverse (13333011310422), we get a palindrome (35734322343753).
The spelling of 22401311033331 in words is "twenty-two trillion, four hundred one billion, three hundred eleven million, thirty-three thousand, three hundred thirty-one".
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