Base | Representation |
---|---|
bin | 10010101101001000… |
… | …11000000111011100 |
3 | 221220212101021002100 |
4 | 21112210120013130 |
5 | 131031312424012 |
6 | 4340253325100 |
7 | 503600144010 |
oct | 112644300734 |
9 | 27825337070 |
10 | 10042311132 |
11 | 4293693a97 |
12 | 1b43196790 |
13 | c406b2c49 |
14 | 6b3a18540 |
15 | 3db9698dc |
hex | 2569181dc |
10042311132 has 72 divisors (see below), whose sum is σ = 29239648256. Its totient is φ = 2846630304.
The previous prime is 10042311131. The next prime is 10042311193. The reversal of 10042311132 is 23111324001.
10042311132 is a `hidden beast` number, since 100 + 423 + 11 + 132 = 666.
It is a super-2 number, since 2×100423111322 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10042311131) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124888 + ... + 188895.
Almost surely, 210042311132 is an apocalyptic number.
10042311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10042311132 is an abundant number, since it is smaller than the sum of its proper divisors (19197337124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10042311132 is a wasteful number, since it uses less digits than its factorization.
10042311132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 313927 (or 313922 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10042311132 its reverse (23111324001), we get a palindrome (33153635133).
The spelling of 10042311132 in words is "ten billion, forty-two million, three hundred eleven thousand, one hundred thirty-two".
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