Base | Representation |
---|---|
bin | 10011000011110111… |
… | …10110110110111010 |
3 | 222102011020001121220 |
4 | 21201323312312322 |
5 | 131424123000423 |
6 | 4411225012510 |
7 | 511404125061 |
oct | 114173666672 |
9 | 28364201556 |
10 | 10233015738 |
11 | 43812a8200 |
12 | 1b97024136 |
13 | c710642ca |
14 | 6d109b1d8 |
15 | 3ed5899e3 |
hex | 261ef6dba |
10233015738 has 48 divisors (see below), whose sum is σ = 22560736800. Its totient is φ = 3091952160.
The previous prime is 10233015713. The next prime is 10233015739. The reversal of 10233015738 is 83751033201.
10233015738 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×102330157382 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 10233015699 and 10233015708.
It is not an unprimeable number, because it can be changed into a prime (10233015739) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233181 + ... + 273567.
It is an arithmetic number, because the mean of its divisors is an integer number (470015350).
Almost surely, 210233015738 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10233015738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280368400).
10233015738 is an abundant number, since it is smaller than the sum of its proper divisors (12327721062).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10233015738 is a wasteful number, since it uses less digits than its factorization.
10233015738 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40763 (or 40752 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 33.
Adding to 10233015738 its reverse (83751033201), we get a palindrome (93984048939).
The spelling of 10233015738 in words is "ten billion, two hundred thirty-three million, fifteen thousand, seven hundred thirty-eight".
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