| Base | Representation |
|---|---|
| bin | 101110100100100100… |
| … | …0100100111111001000 |
| 3 | 100120010221210001100001 |
| 4 | 1131021020210333020 |
| 5 | 3114310333430344 |
| 6 | 113540003452344 |
| 7 | 10140241312300 |
| oct | 1351110447710 |
| 9 | 316127701301 |
| 10 | 100011233224 |
| 11 | 39461808861 |
| 12 | 174716870b4 |
| 13 | 957ac43716 |
| 14 | 4baa746600 |
| 15 | 2905207ed4 |
| hex | 1749224fc8 |
100011233224 has 96 divisors (see below), whose sum is σ = 229020765120. Its totient is φ = 40746271104.
The previous prime is 100011233221. The next prime is 100011233227. The reversal of 100011233224 is 422332110001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (100011233221) and next prime (100011233227).
It is not an unprimeable number, because it can be changed into a prime (100011233221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435582 + ... + 1503634.
It is an arithmetic number, because the mean of its divisors is an integer number (2385632970).
Almost surely, 2100011233224 is an apocalyptic number.
100011233224 is a gapful number since it is divisible by the number (14) 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 100011233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114510382560).
100011233224 is an abundant number, since it is smaller than the sum of its proper divisors (129009531896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100011233224 is a wasteful number, since it uses less digits than its factorization.
100011233224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68259 (or 68248 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
Adding to 100011233224 its reverse (422332110001), we get a palindrome (522343343225).
It can be divided in two parts, 10001 and 1233224, that added together give a square (1243225 = 11152).
The spelling of 100011233224 in words is "one hundred billion, eleven million, two hundred thirty-three thousand, two hundred twenty-four".
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