Base | Representation |
---|---|
bin | 1011111110001… |
… | …01011001000000 |
3 | 20222222000202222 |
4 | 11333011121000 |
5 | 201202020412 |
6 | 13544230212 |
7 | 2326404050 |
oct | 577053100 |
9 | 228860688 |
10 | 100423232 |
11 | 51760508 |
12 | 2976b368 |
13 | 17a61340 |
14 | d4a1560 |
15 | 8c3a072 |
hex | 5fc5640 |
100423232 has 112 divisors (see below), whose sum is σ = 251594112. Its totient is φ = 38707200.
The previous prime is 100423231. The next prime is 100423241. The reversal of 100423232 is 232324001.
It is a tau number, because it is divible by the number of its divisors (112).
It is a self number, because there is not a number n which added to its sum of digits gives 100423232.
It is not an unprimeable number, because it can be changed into a prime (100423231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250232 + ... + 250632.
It is an arithmetic number, because the mean of its divisors is an integer number (2246376).
Almost surely, 2100423232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125797056).
100423232 is an abundant number, since it is smaller than the sum of its proper divisors (151170880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100423232 is a wasteful number, since it uses less digits than its factorization.
100423232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 476 (or 466 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 100423232 is about 10021.1392565915. The cubic root of 100423232 is about 464.8127846956.
Adding to 100423232 its reverse (232324001), we get a palindrome (332747233).
The spelling of 100423232 in words is "one hundred million, four hundred twenty-three thousand, two hundred thirty-two".
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