Base | Representation |
---|---|
bin | 10011000011110111… |
… | …01011111100001100 |
3 | 222102011010210021200 |
4 | 21201323223330030 |
5 | 131424120033040 |
6 | 4411224025500 |
7 | 511403550516 |
oct | 114173537414 |
9 | 28364123250 |
10 | 10232971020 |
11 | 4381277648 |
12 | 1b97002290 |
13 | c71049b4c |
14 | 6d1088bb6 |
15 | 3ed57b630 |
hex | 261eebf0c |
10232971020 has 144 divisors (see below), whose sum is σ = 31359025152. Its totient is φ = 2700892800.
The previous prime is 10232971013. The next prime is 10232971039. The reversal of 10232971020 is 2017923201.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10409449 + ... + 10410431.
It is an arithmetic number, because the mean of its divisors is an integer number (217771008).
Almost surely, 210232971020 is an apocalyptic number.
10232971020 is a gapful number since it is divisible by the number (10) 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 10232971020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679512576).
10232971020 is an abundant number, since it is smaller than the sum of its proper divisors (21126054132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10232971020 is a wasteful number, since it uses less digits than its factorization.
10232971020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1532 (or 1527 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 27.
The spelling of 10232971020 in words is "ten billion, two hundred thirty-two million, nine hundred seventy-one thousand, twenty".
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