Base | Representation |
---|---|
bin | 111100001100111… |
… | …011101110000100 |
3 | 2121101112111111101 |
4 | 330030323232010 |
5 | 4032031221200 |
6 | 244120145444 |
7 | 34013025226 |
oct | 7414735604 |
9 | 2541474441 |
10 | 1010023300 |
11 | 47914a500 |
12 | 242308284 |
13 | 131339530 |
14 | 981da416 |
15 | 5da1126a |
hex | 3c33bb84 |
1010023300 has 108 divisors (see below), whose sum is σ = 2594834788. Its totient is φ = 338976000.
The previous prime is 1010023297. The next prime is 1010023303. The reversal of 1010023300 is 33200101.
It is an interprime number because it is at equal distance from previous prime (1010023297) and next prime (1010023303).
It can be written as a sum of positive squares in 6 ways, for example, as 193321216 + 816702084 = 13904^2 + 28578^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1010023303) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154090 + ... + 160510.
Almost surely, 21010023300 is an apocalyptic number.
1010023300 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 1010023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297417394).
1010023300 is an abundant number, since it is smaller than the sum of its proper divisors (1584811488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010023300 is a wasteful number, since it uses less digits than its factorization.
1010023300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6470 (or 6452 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
The square root of 1010023300 is about 31780.8637390490. The cubic root of 1010023300 is about 1003.3299987993.
Adding to 1010023300 its reverse (33200101), we get a palindrome (1043223401).
The spelling of 1010023300 in words is "one billion, ten million, twenty-three thousand, three hundred".
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