Base | Representation |
---|---|
bin | 1011111100000… |
… | …00110101001100 |
3 | 20222102202120020 |
4 | 11332000311030 |
5 | 201114024122 |
6 | 13534222140 |
7 | 2324124246 |
oct | 576006514 |
9 | 228382506 |
10 | 100142412 |
11 | 51589527 |
12 | 29654950 |
13 | 17993586 |
14 | d42b096 |
15 | 8bd1c5c |
hex | 5f80d4c |
100142412 has 48 divisors (see below), whose sum is σ = 237740160. Its totient is φ = 32804352.
The previous prime is 100142381. The next prime is 100142417. The reversal of 100142412 is 214241001.
It is a junction number, because it is equal to n+sod(n) for n = 100142391 and 100142400.
It is not an unprimeable number, because it can be changed into a prime (100142417) 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, 264039 + ... + 264417.
It is an arithmetic number, because the mean of its divisors is an integer number (4952920).
Almost surely, 2100142412 is an apocalyptic number.
100142412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
100142412 is an abundant number, since it is smaller than the sum of its proper divisors (137597748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100142412 is a wasteful number, since it uses less digits than its factorization.
100142412 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 710 (or 708 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
The square root of 100142412 is about 10007.1180666564. The cubic root of 100142412 is about 464.3791181637.
Adding to 100142412 its reverse (214241001), we get a palindrome (314383413).
The spelling of 100142412 in words is "one hundred million, one hundred forty-two thousand, four hundred twelve".
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