Base | Representation |
---|---|
bin | 100001011110010111110… |
… | …010010100101111010000 |
3 | 22010220121121222202000210 |
4 | 201132113302110233100 |
5 | 300142111114230440 |
6 | 4520433522444120 |
7 | 325123626564162 |
oct | 41362762245720 |
9 | 8126547882023 |
10 | 2300354055120 |
11 | 807635991a20 |
12 | 3119a7b03640 |
13 | 138bcb838b44 |
14 | 7d4a2a36932 |
15 | 3ec867c6a80 |
hex | 21797c94bd0 |
2300354055120 has 320 divisors, whose sum is σ = 8068445872128. Its totient is φ = 537110784000.
The previous prime is 2300354055113. The next prime is 2300354055133. The reversal of 2300354055120 is 215504530032.
2300354055120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17201634 + ... + 17334846.
Almost surely, 22300354055120 is an apocalyptic number.
2300354055120 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 2300354055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034222936064).
2300354055120 is an abundant number, since it is smaller than the sum of its proper divisors (5768091817008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300354055120 is a wasteful number, since it uses less digits than its factorization.
2300354055120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133482 (or 133476 counting only the distinct ones).
The product of its (nonzero) digits is 18000, while the sum is 30.
Adding to 2300354055120 its reverse (215504530032), we get a palindrome (2515858585152).
It can be divided in two parts, 230035405 and 5120, that added together give a triangular number (230040525 = T21449).
The spelling of 2300354055120 in words is "two trillion, three hundred billion, three hundred fifty-four million, fifty-five thousand, one hundred twenty".
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