Base | Representation |
---|---|
bin | 10000011001111011101110… |
… | …10100101100000010111100 |
3 | 11201201202222220021200102101 |
4 | 20030331313110230002330 |
5 | 14212024441122343400 |
6 | 204420454052434444 |
7 | 10412235561316453 |
oct | 1014756724540274 |
9 | 151652886250371 |
10 | 36075432231100 |
11 | 10549561012169 |
12 | 40677b1318a24 |
13 | 1718b8b490202 |
14 | 8ca0bb407b9a |
15 | 42861120756a |
hex | 20cf7752c0bc |
36075432231100 has 72 divisors (see below), whose sum is σ = 79317023385600. Its totient is φ = 14239891723200.
The previous prime is 36075432231043. The next prime is 36075432231101. The reversal of 36075432231100 is 113223457063.
36075432231100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 36075432231100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36075432231101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13560561 + ... + 16001239.
It is an arithmetic number, because the mean of its divisors is an integer number (1101625324800).
Almost surely, 236075432231100 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 36075432231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39658511692800).
36075432231100 is an abundant number, since it is smaller than the sum of its proper divisors (43241591154500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36075432231100 is a wasteful number, since it uses less digits than its factorization.
36075432231100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2442643 (or 2442636 counting only the distinct ones).
The product of its (nonzero) digits is 90720, while the sum is 37.
Adding to 36075432231100 its reverse (113223457063), we get a palindrome (36188655688163).
The spelling of 36075432231100 in words is "thirty-six trillion, seventy-five billion, four hundred thirty-two million, two hundred thirty-one thousand, one hundred".
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