Base | Representation |
---|---|
bin | 1010000000010010011010… |
… | …10101101001110011100000 |
3 | 2212220012011012010121010201 |
4 | 11000021031111221303200 |
5 | 10340422221210341000 |
6 | 114442414323234544 |
7 | 4430312324431114 |
oct | 500111525516340 |
9 | 85805135117121 |
10 | 22000120012000 |
11 | 7012220228699 |
12 | 257392b818a54 |
13 | c377aa677610 |
14 | 560b50a2b744 |
15 | 28241866c96a |
hex | 14024d569ce0 |
22000120012000 has 384 divisors, whose sum is σ = 61356081346560. Its totient is φ = 7695004262400.
The previous prime is 22000120011977. The next prime is 22000120012141. The reversal of 22000120012000 is 21002100022.
It is a super-4 number, since 4×220001200120004 (a number of 54 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79786369 + ... + 80061631.
It is an arithmetic number, because the mean of its divisors is an integer number (159781461840).
Almost surely, 222000120012000 is an apocalyptic number.
22000120012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22000120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30678040673280).
22000120012000 is an abundant number, since it is smaller than the sum of its proper divisors (39355961334560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22000120012000 is a wasteful number, since it uses less digits than its factorization.
22000120012000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 275383 (or 275365 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 22000120012000 its reverse (21002100022), we get a palindrome (22021122112022).
The spelling of 22000120012000 in words is "twenty-two trillion, one hundred twenty million, twelve thousand".
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