Base | Representation |
---|---|
bin | 10100110010011011… |
… | …111010000101101100 |
3 | 2010121120220221122220 |
4 | 110302123322011230 |
5 | 331203134404400 |
6 | 14130520435340 |
7 | 1420064323641 |
oct | 246233720554 |
9 | 63546827586 |
10 | 22321013100 |
11 | 95146a2571 |
12 | 43ab318b50 |
13 | 21494c9379 |
14 | 111a663dc8 |
15 | 8a98dd7a0 |
hex | 5326fa16c |
22321013100 has 72 divisors (see below), whose sum is σ = 65307851280. Its totient is φ = 5885383680.
The previous prime is 22321013053. The next prime is 22321013167. The reversal of 22321013100 is 131012322.
It is a super-3 number, since 3×223210131003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 22321013100.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391297 + ... + 444696.
It is an arithmetic number, because the mean of its divisors is an integer number (907053490).
Almost surely, 222321013100 is an apocalyptic number.
22321013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22321013100 is an abundant number, since it is smaller than the sum of its proper divisors (42986838180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22321013100 is a wasteful number, since it uses less digits than its factorization.
22321013100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 836099 (or 836092 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 22321013100 its reverse (131012322), we get a palindrome (22452025422).
The spelling of 22321013100 in words is "twenty-two billion, three hundred twenty-one million, thirteen thousand, one hundred".
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