Base | Representation |
---|---|
bin | 10010101010110111… |
… | …00011001101000000 |
3 | 221212112110100000120 |
4 | 21111123203031000 |
5 | 131011421020112 |
6 | 4334332220240 |
7 | 503245651560 |
oct | 112533431500 |
9 | 27775410016 |
10 | 10023220032 |
11 | 4283934621 |
12 | 1b3890a680 |
13 | c3975a437 |
14 | 6b1288da0 |
15 | 3d9e47e8c |
hex | 2556e3340 |
10023220032 has 112 divisors (see below), whose sum is σ = 30723791232. Its totient is φ = 2824519680.
The previous prime is 10023219989. The next prime is 10023220073. The reversal of 10023220032 is 23002232001.
It is a tau number, because it is divible by the number of its divisors (112).
It is a junction number, because it is equal to n+sod(n) for n = 10023219993 and 10023220020.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47032 + ... + 149192.
Almost surely, 210023220032 is an apocalyptic number.
10023220032 is a gapful number since it is divisible by the number (12) 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 10023220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361895616).
10023220032 is an abundant number, since it is smaller than the sum of its proper divisors (20700571200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023220032 is a wasteful number, since it uses less digits than its factorization.
10023220032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102256 (or 102246 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 10023220032 its reverse (23002232001), we get a palindrome (33025452033).
The spelling of 10023220032 in words is "ten billion, twenty-three million, two hundred twenty thousand, thirty-two".
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