Base | Representation |
---|---|
bin | 100000110010000… |
… | …1101001101001000 |
3 | 2211122212022110200 |
4 | 1001210031031020 |
5 | 4223100312222 |
6 | 301053012200 |
7 | 36154635102 |
oct | 10144151510 |
9 | 2748768420 |
10 | 1100010312 |
11 | 514a22035 |
12 | 268484060 |
13 | 146b8559b |
14 | a6142572 |
15 | 66888eac |
hex | 4190d348 |
1100010312 has 48 divisors (see below), whose sum is σ = 2981909580. Its totient is φ = 366336000.
The previous prime is 1100010287. The next prime is 1100010403. The reversal of 1100010312 is 2130100011.
It can be written as a sum of positive squares in 2 ways, for example, as 1072824516 + 27185796 = 32754^2 + 5214^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1100010294 and 1100010303.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80112 + ... + 92832.
Almost surely, 21100010312 is an apocalyptic number.
1100010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1100010312 is an abundant number, since it is smaller than the sum of its proper divisors (1881899268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100010312 is a wasteful number, since it uses less digits than its factorization.
1100010312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13934 (or 13927 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 1100010312 is about 33166.4033624389. The cubic root of 1100010312 is about 1032.2833411652.
Adding to 1100010312 its reverse (2130100011), we get a palindrome (3230110323).
It can be divided in two parts, 11000 and 10312, that added together give a palindrome (21312).
The spelling of 1100010312 in words is "one billion, one hundred million, ten thousand, three hundred twelve".
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