Base | Representation |
---|---|
bin | 100110010011… |
… | …101100010011 |
3 | 200220012012210 |
4 | 212103230103 |
5 | 10032322011 |
6 | 555123203 |
7 | 151233231 |
oct | 46235423 |
9 | 20805183 |
10 | 10042131 |
11 | 5739890 |
12 | 3443503 |
13 | 2107ab8 |
14 | 1495951 |
15 | d356a6 |
hex | 993b13 |
10042131 has 16 divisors (see below), whose sum is σ = 14699520. Its totient is φ = 6047520.
The previous prime is 10042103. The next prime is 10042141. The reversal of 10042131 is 13124001.
It is a happy number.
10042131 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a de Polignac number, because none of the positive numbers 2k-10042131 is a prime.
It is a super-2 number, since 2×100421312 = 201688790042322, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10042141) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4830 + ... + 6588.
It is an arithmetic number, because the mean of its divisors is an integer number (918720).
Almost surely, 210042131 is an apocalyptic number.
10042131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
10042131 is a deficient number, since it is larger than the sum of its proper divisors (4657389).
10042131 is a wasteful number, since it uses less digits than its factorization.
10042131 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1946.
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 10042131 is about 3168.9321545278. The cubic root of 10042131 is about 215.7456067139.
Adding to 10042131 its reverse (13124001), we get a palindrome (23166132).
The spelling of 10042131 in words is "ten million, forty-two thousand, one hundred thirty-one".
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