Base | Representation |
---|---|
bin | 10010101101001001… |
… | …01110100110000000 |
3 | 221220212112221101021 |
4 | 21112210232212000 |
5 | 131031323400300 |
6 | 4340255315224 |
7 | 503601006304 |
oct | 112644564600 |
9 | 27825487337 |
10 | 10042403200 |
11 | 4293747185 |
12 | 1b4321bb14 |
13 | c40715b1b |
14 | 6b3a3dd04 |
15 | 3db986d1a |
hex | 25692e980 |
10042403200 has 144 divisors (see below), whose sum is σ = 26355428100. Its totient is φ = 3780321280.
The previous prime is 10042403197. The next prime is 10042403201. The reversal of 10042403200 is 230424001.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10042403201) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919371 + ... + 930229.
Almost surely, 210042403200 is an apocalyptic number.
10042403200 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 10042403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177714050).
10042403200 is an abundant number, since it is smaller than the sum of its proper divisors (16313024900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10042403200 is a wasteful number, since it uses less digits than its factorization.
10042403200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10917 (or 10883 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
Adding to 10042403200 its reverse (230424001), we get a palindrome (10272827201).
The spelling of 10042403200 in words is "ten billion, forty-two million, four hundred three thousand, two hundred".
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