| Base | Representation |
|---|---|
| bin | 1010000100001011111110… |
| … | …10011100011110110110000 |
| 3 | 2220100222222122110120001220 |
| 4 | 11002011333103203312300 |
| 5 | 10400121120142412240 |
| 6 | 115024133301025040 |
| 7 | 4443064455244500 |
| oct | 502057723436660 |
| 9 | 86328878416056 |
| 10 | 22134102310320 |
| 11 | 70640247a0460 |
| 12 | 25958a20b5180 |
| 13 | c473105b3590 |
| 14 | 567420d5da00 |
| 15 | 285b5ae0b5d0 |
| hex | 14217f4e3db0 |
22134102310320 has 1920 divisors, whose sum is σ = 97099897208832. Its totient is φ = 4096770048000.
The previous prime is 22134102310319. The next prime is 22134102310321. The reversal of 22134102310320 is 2301320143122.
It is an interprime number because it is at equal distance from previous prime (22134102310319) and next prime (22134102310321).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (22134102310321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7902212920 + ... + 7902215720.
Almost surely, 222134102310320 is an apocalyptic number.
22134102310320 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 22134102310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48549948604416).
22134102310320 is an abundant number, since it is smaller than the sum of its proper divisors (74965794898512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22134102310320 is a wasteful number, since it uses less digits than its factorization.
22134102310320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3019 (or 3006 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 22134102310320 its reverse (2301320143122), we get a palindrome (24435422453442).
It can be divided in two parts, 22134102 and 310320, that added together give a palindrome (22444422).
The spelling of 22134102310320 in words is "twenty-two trillion, one hundred thirty-four billion, one hundred two million, three hundred ten thousand, three hundred twenty".
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