Base | Representation |
---|---|
bin | 100000011110101110110… |
… | …100011111100101111100 |
3 | 21220101020101100001100000 |
4 | 200132232310133211330 |
5 | 243032134340214400 |
6 | 4425213140434300 |
7 | 320154363442401 |
oct | 40365664374574 |
9 | 7811211301300 |
10 | 2232021023100 |
11 | 79065a751640 |
12 | 3006b73a8990 |
13 | 13262b87399b |
14 | 7a05d5882a8 |
15 | 3d0d76e2600 |
hex | 207aed1f97c |
2232021023100 has 864 divisors, whose sum is σ = 8476107494400. Its totient is φ = 503453491200.
The previous prime is 2232021023087. The next prime is 2232021023159. The reversal of 2232021023100 is 13201202322.
2232021023100 is a `hidden beast` number, since 22 + 320 + 2 + 10 + 2 + 310 + 0 = 666.
It is a super-3 number, since 3×22320210231003 (a number of 38 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 (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 404422141 + ... + 404427659.
It is an arithmetic number, because the mean of its divisors is an integer number (9810309600).
Almost surely, 22232021023100 is an apocalyptic number.
2232021023100 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 2232021023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238053747200).
2232021023100 is an abundant number, since it is smaller than the sum of its proper divisors (6244086471300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232021023100 is a wasteful number, since it uses less digits than its factorization.
2232021023100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5665 (or 5646 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2232021023100 its reverse (13201202322), we get a palindrome (2245222225422).
The spelling of 2232021023100 in words is "two trillion, two hundred thirty-two billion, twenty-one million, twenty-three thousand, one hundred".
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