Base | Representation |
---|---|
bin | 11101001000101101111… |
… | …00010110101000000000 |
3 | 10112201001020102010021112 |
4 | 32210112330112220000 |
5 | 112400234222100112 |
6 | 2043523222542452 |
7 | 132220332101165 |
oct | 16442674265000 |
9 | 3481036363245 |
10 | 1001112300032 |
11 | 356629881419 |
12 | 142032597a28 |
13 | 73534864c40 |
14 | 3665006806c |
15 | 1b09422ba22 |
hex | e916f16a00 |
1001112300032 has 160 divisors (see below), whose sum is σ = 2177992599552. Its totient is φ = 456958623744.
The previous prime is 1001112299959. The next prime is 1001112300037. The reversal of 1001112300032 is 2300032111001.
It is a super-2 number, since 2×10011123000322 (a number of 25 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1001112300037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293321558 + ... + 293324970.
Almost surely, 21001112300032 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 1001112300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088996299776).
1001112300032 is an abundant number, since it is smaller than the sum of its proper divisors (1176880299520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001112300032 is a wasteful number, since it uses less digits than its factorization.
1001112300032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3918 (or 3902 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
Adding to 1001112300032 its reverse (2300032111001), we get a palindrome (3301144411033).
The spelling of 1001112300032 in words is "one trillion, one billion, one hundred twelve million, three hundred thousand, thirty-two".
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