Base | Representation |
---|---|
bin | 100001011110010110010… |
… | …111000011111100010100 |
3 | 22010220112221222021121102 |
4 | 201132112113003330110 |
5 | 300142034003144340 |
6 | 4520431310005232 |
7 | 325123216333202 |
oct | 41362627037424 |
9 | 8126487867542 |
10 | 2300330131220 |
11 | 807623431600 |
12 | 31199baa6818 |
13 | 138bc68b06a4 |
14 | 7d49d7aa072 |
15 | 3ec8464d215 |
hex | 217965c3f14 |
2300330131220 has 72 divisors (see below), whose sum is σ = 5396816055624. Its totient is φ = 822770784000.
The previous prime is 2300330131219. The next prime is 2300330131223. The reversal of 2300330131220 is 221310330032.
2300330131220 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 4 ways, for example, as 166779124996 + 2133551006224 = 408386^2 + 1460668^2 .
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 = 2300330131192 and 2300330131201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2300330131223) 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, 7643771 + ... + 7939010.
Almost surely, 22300330131220 is an apocalyptic number.
2300330131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2300330131220 is an abundant number, since it is smaller than the sum of its proper divisors (3096485924404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300330131220 is a wasteful number, since it uses less digits than its factorization.
2300330131220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15582873 (or 15582860 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 2300330131220 its reverse (221310330032), we get a palindrome (2521640461252).
The spelling of 2300330131220 in words is "two trillion, three hundred billion, three hundred thirty million, one hundred thirty-one thousand, two hundred twenty".
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