Base | Representation |
---|---|
bin | 1010000110001000110110… |
… | …01000101000100001111100 |
3 | 2220121102000200222001121200 |
4 | 11003010123020220201330 |
5 | 10402220414121413040 |
6 | 115115021413055500 |
7 | 4450656655356435 |
oct | 503043310504174 |
9 | 86542020861550 |
10 | 22201141201020 |
11 | 708a4a6475261 |
12 | 25a6891327590 |
13 | c50735412342 |
14 | 56a7805b448c |
15 | 2877815ab630 |
hex | 14311b22887c |
22201141201020 has 144 divisors (see below), whose sum is σ = 70283138365440. Its totient is φ = 5661956919168.
The previous prime is 22201141200967. The next prime is 22201141201037. The reversal of 22201141201020 is 2010214110222.
22201141201020 is a `hidden beast` number, since 2 + 220 + 1 + 1 + 412 + 0 + 10 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22201141200984 and 22201141201002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24591171 + ... + 25477989.
It is an arithmetic number, because the mean of its divisors is an integer number (488077349760).
Almost surely, 222201141201020 is an apocalyptic number.
22201141201020 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 22201141201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35141569182720).
22201141201020 is an abundant number, since it is smaller than the sum of its proper divisors (48081997164420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22201141201020 is a wasteful number, since it uses less digits than its factorization.
22201141201020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 892904 (or 892899 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22201141201020 its reverse (2010214110222), we get a palindrome (24211355311242).
The spelling of 22201141201020 in words is "twenty-two trillion, two hundred one billion, one hundred forty-one million, two hundred one thousand, twenty".
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