Base | Representation |
---|---|
bin | 1001000110001101011110… |
… | …0011100111001111110000 |
3 | 1022102012200111122201101121 |
4 | 2101203113203213033300 |
5 | 2302334202334133240 |
6 | 33134554320312024 |
7 | 2051433216525124 |
oct | 221432743471760 |
9 | 38365614581347 |
10 | 10002300302320 |
11 | 3206a51841217 |
12 | 115661a172614 |
13 | 57729c8a8161 |
14 | 268184839584 |
15 | 1252b1d7404a |
hex | 918d78e73f0 |
10002300302320 has 120 divisors (see below), whose sum is σ = 24412153147200. Its totient is φ = 3810950803968.
The previous prime is 10002300302317. The next prime is 10002300302417. The reversal of 10002300302320 is 2320300320001.
It is a super-2 number, since 2×100023003023202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 10002300302294 and 10002300302303.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9620026 + ... + 10608934.
It is an arithmetic number, because the mean of its divisors is an integer number (203434609560).
Almost surely, 210002300302320 is an apocalyptic number.
10002300302320 is a gapful number since it is divisible by the number (10) 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 10002300302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206076573600).
10002300302320 is an abundant number, since it is smaller than the sum of its proper divisors (14409852844880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10002300302320 is a wasteful number, since it uses less digits than its factorization.
10002300302320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 989207 (or 989178 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
Adding to 10002300302320 its reverse (2320300320001), we get a palindrome (12322600622321).
The spelling of 10002300302320 in words is "ten trillion, two billion, three hundred million, three hundred two thousand, three hundred twenty".
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