Base | Representation |
---|---|
bin | 1000100100100110… |
… | …1010100010011000 |
3 | 12221100202112020010 |
4 | 2021021222202120 |
5 | 14203024341440 |
6 | 1020154401520 |
7 | 111010165101 |
oct | 21111524230 |
9 | 5840675203 |
10 | 2301012120 |
11 | a80952510 |
12 | 5427302a0 |
13 | 2a893aa44 |
14 | 17b8533a8 |
15 | d7021580 |
hex | 8926a898 |
2301012120 has 128 divisors (see below), whose sum is σ = 7565322240. Its totient is φ = 555248640.
The previous prime is 2301012083. The next prime is 2301012137. The reversal of 2301012120 is 212101032.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 2301012096 and 2301012105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290452 + ... + 298268.
It is an arithmetic number, because the mean of its divisors is an integer number (59104080).
Almost surely, 22301012120 is an apocalyptic number.
2301012120 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 2301012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782661120).
2301012120 is an abundant number, since it is smaller than the sum of its proper divisors (5264310120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2301012120 is a wasteful number, since it uses less digits than its factorization.
2301012120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8065 (or 8061 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 2301012120 is about 47968.8661529538. The cubic root of 2301012120 is about 1320.1997172558.
Adding to 2301012120 its reverse (212101032), we get a palindrome (2513113152).
It can be divided in two parts, 230101 and 2120, that added together give a triangular number (232221 = T681).
The spelling of 2301012120 in words is "two billion, three hundred one million, twelve thousand, one hundred twenty".
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