Base | Representation |
---|---|
bin | 1010000011100101010001… |
… | …01001111101100010000000 |
3 | 2220022000100101011101101221 |
4 | 11001302220221331202000 |
5 | 10344301040212241112 |
6 | 115010415230004424 |
7 | 4441430466650221 |
oct | 501625051754200 |
9 | 86260311141357 |
10 | 22113321212032 |
11 | 7056230370766 |
12 | 2591862646714 |
13 | c4537b14330b |
14 | 56640d02d248 |
15 | 2853417ede07 |
hex | 141ca8a7d880 |
22113321212032 has 128 divisors (see below), whose sum is σ = 44873324503920. Its totient is φ = 10852525670400.
The previous prime is 22113321211987. The next prime is 22113321212083. The reversal of 22113321212032 is 23021212331122.
It can be written as a sum of positive squares in 8 ways, for example, as 7301106627136 + 14812214584896 = 2702056^2 + 3848664^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 22113321211988 and 22113321212006.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4848347032 + ... + 4848351592.
Almost surely, 222113321212032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22113321212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22436662251960).
22113321212032 is an abundant number, since it is smaller than the sum of its proper divisors (22760003291888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22113321212032 is a wasteful number, since it uses less digits than its factorization.
22113321212032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7042 (or 7030 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
Adding to 22113321212032 its reverse (23021212331122), we get a palindrome (45134533543154).
The spelling of 22113321212032 in words is "twenty-two trillion, one hundred thirteen billion, three hundred twenty-one million, two hundred twelve thousand, thirty-two".
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