Base | Representation |
---|---|
bin | 111011100111000… |
… | …101010100001100 |
3 | 2120200212101211200 |
4 | 323213011110030 |
5 | 4022011214012 |
6 | 243123345500 |
7 | 33532501512 |
oct | 7347052414 |
9 | 2520771750 |
10 | 1000101132 |
11 | 473592868 |
12 | 23ab22290 |
13 | 12c274224 |
14 | 96b764b2 |
15 | 5cc013dc |
hex | 3b9c550c |
1000101132 has 36 divisors (see below), whose sum is σ = 2560041120. Its totient is φ = 329146272.
The previous prime is 1000101127. The next prime is 1000101133. The reversal of 1000101132 is 2311010001.
1000101132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×10001011323 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1000101133) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172983 + ... + 178670.
Almost surely, 21000101132 is an apocalyptic number.
1000101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1000101132 is an abundant number, since it is smaller than the sum of its proper divisors (1559939988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000101132 is a wasteful number, since it uses less digits than its factorization.
1000101132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 351742 (or 351737 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 1000101132 is about 31624.3755985790. The cubic root of 1000101132 is about 1000.0337095303.
Adding to 1000101132 its reverse (2311010001), we get a palindrome (3311111133).
The spelling of 1000101132 in words is "one billion, one hundred one thousand, one hundred thirty-two".
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