Base | Representation |
---|---|
bin | 1101100100011110110… |
… | …0001100001001100100 |
3 | 211021202022002220000001 |
4 | 3121013230030021210 |
5 | 12304423014003140 |
6 | 255033210231044 |
7 | 22562126543653 |
oct | 3310754141144 |
9 | 737668086001 |
10 | 233131000420 |
11 | 8a96341018a |
12 | 39223125484 |
13 | 18ca4274736 |
14 | b3d82b319a |
15 | 60e6dbbe9a |
hex | 3647b0c264 |
233131000420 has 48 divisors (see below), whose sum is σ = 518443979760. Its totient is φ = 87755055104.
The previous prime is 233131000409. The next prime is 233131000423. The reversal of 233131000420 is 24000131332.
It can be written as a sum of positive squares in 8 ways, for example, as 53022430756 + 180108569664 = 230266^2 + 424392^2 .
It is not an unprimeable number, because it can be changed into a prime (233131000423) 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, 2700972 + ... + 2785948.
It is an arithmetic number, because the mean of its divisors is an integer number (10800916245).
Almost surely, 2233131000420 is an apocalyptic number.
233131000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
233131000420 is an abundant number, since it is smaller than the sum of its proper divisors (285312979340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233131000420 is a wasteful number, since it uses less digits than its factorization.
233131000420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93072 (or 93070 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
Adding to 233131000420 its reverse (24000131332), we get a palindrome (257131131752).
The spelling of 233131000420 in words is "two hundred thirty-three billion, one hundred thirty-one million, four hundred twenty", and thus it is an aban number.
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