Base | Representation |
---|---|
bin | 111011100001… |
… | …1111010000000 |
3 | 2011201200122000 |
4 | 1313003322000 |
5 | 30442224021 |
6 | 3032544000 |
7 | 526201365 |
oct | 167037200 |
9 | 64650560 |
10 | 31211136 |
11 | 16688430 |
12 | a552000 |
13 | 660a338 |
14 | 420646c |
15 | 2b17b26 |
hex | 1dc3e80 |
31211136 has 128 divisors (see below), whose sum is σ = 100612800. Its totient is φ = 9446400.
The previous prime is 31211107. The next prime is 31211137. The reversal of 31211136 is 63111213.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a nialpdrome in base 12.
It is not an unprimeable number, because it can be changed into a prime (31211137) 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, 37606 + ... + 38426.
Almost surely, 231211136 is an apocalyptic number.
31211136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50306400).
31211136 is an abundant number, since it is smaller than the sum of its proper divisors (69401664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31211136 is a wasteful number, since it uses less digits than its factorization.
31211136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 855 (or 837 counting only the distinct ones).
The product of its digits is 108, while the sum is 18.
The square root of 31211136 is about 5586.6927604800. The cubic root of 31211136 is about 314.8496334487.
Adding to 31211136 its reverse (63111213), we get a palindrome (94322349).
The spelling of 31211136 in words is "thirty-one million, two hundred eleven thousand, one hundred thirty-six".
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