| Base | Representation |
|---|---|
| bin | 11000111110010001… |
| … | …11000011111000100 |
| 3 | 1021121101020122002021 |
| 4 | 30133020320133010 |
| 5 | 204424233332400 |
| 6 | 10054221252524 |
| 7 | 653150242312 |
| oct | 143710703704 |
| 9 | 37541218067 |
| 10 | 13407324100 |
| 11 | 57600a3045 |
| 12 | 2722104144 |
| 13 | 13588a8b91 |
| 14 | 9128b90b2 |
| 15 | 5370b071a |
| hex | 31f2387c4 |
13407324100 has 27 divisors (see below), whose sum is σ = 29096406157. Its totient is φ = 5362466480.
The previous prime is 13407324089. The next prime is 13407324113. The reversal of 13407324100 is 142370431.
The square root of 13407324100 is 115790.
It is a perfect power (a square), and thus also a powerful number.
13407324100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 4826636676 + 8580687424 = 69474^2 + 92632^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1152111 + ... + 1163689.
Almost surely, 213407324100 is an apocalyptic number.
13407324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
13407324100 is the 115790-th square number.
It is an amenable number.
13407324100 is an abundant number, since it is smaller than the sum of its proper divisors (15689082057).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13407324100 is an frugal number, since it uses more digits than its factorization.
13407324100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23172 (or 11586 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 25.
Multiplying 13407324100 by its sum of digits (25), we get a square (335183102500 = 5789502).
13407324100 divided by its sum of digits (25) gives a square (536292964 = 231582).
Adding to 13407324100 its reverse (142370431), we get a palindrome (13549694531).
The spelling of 13407324100 in words is "thirteen billion, four hundred seven million, three hundred twenty-four thousand, one hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •