Base | Representation |
---|---|
bin | 1000101011110100… |
… | …0001000110110000 |
3 | 20000110122211100002 |
4 | 2022331001012300 |
5 | 14233300013440 |
6 | 1023154445132 |
7 | 111525210332 |
oct | 21275010660 |
9 | 6013584302 |
10 | 2331251120 |
11 | a96a26520 |
12 | 5508937a8 |
13 | 2b1c97743 |
14 | 181885452 |
15 | d99e6115 |
hex | 8af411b0 |
2331251120 has 80 divisors (see below), whose sum is σ = 5947467552. Its totient is φ = 842772480.
The previous prime is 2331251077. The next prime is 2331251147. The reversal of 2331251120 is 211521332.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2331251092 and 2331251101.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144584 + ... + 159896.
Almost surely, 22331251120 is an apocalyptic number.
2331251120 is a gapful number since it is divisible by the number (20) 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 2331251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973733776).
2331251120 is an abundant number, since it is smaller than the sum of its proper divisors (3616216432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2331251120 is a wasteful number, since it uses less digits than its factorization.
2331251120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15510 (or 15504 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 20.
The square root of 2331251120 is about 48283.0313878489. The cubic root of 2331251120 is about 1325.9577496933.
Adding to 2331251120 its reverse (211521332), we get a palindrome (2542772452).
The spelling of 2331251120 in words is "two billion, three hundred thirty-one million, two hundred fifty-one thousand, one hundred twenty".
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