Base | Representation |
---|---|
bin | 11101001001101100… |
… | …010101111011110100 |
3 | 2222210102121020221221 |
4 | 131021230111323310 |
5 | 1003101042211040 |
6 | 22213551520124 |
7 | 2155446142444 |
oct | 351154257364 |
9 | 88712536857 |
10 | 31301132020 |
11 | 12302744854 |
12 | 6096829044 |
13 | 2c4ab083c2 |
14 | 172d182124 |
15 | c32e8e74a |
hex | 749b15ef4 |
31301132020 has 96 divisors (see below), whose sum is σ = 72080215200. Its totient is φ = 11364777984.
The previous prime is 31301131997. The next prime is 31301132021. The reversal of 31301132020 is 2023110313.
It can be written as a sum of positive squares in 16 ways, for example, as 587868516 + 30713263504 = 24246^2 + 175252^2 .
It is a junction number, because it is equal to n+sod(n) for n = 31301131985 and 31301132003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31301132021) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15863754 + ... + 15865726.
It is an arithmetic number, because the mean of its divisors is an integer number (750835575).
Almost surely, 231301132020 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 31301132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36040107600).
31301132020 is an abundant number, since it is smaller than the sum of its proper divisors (40779083180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31301132020 is a wasteful number, since it uses less digits than its factorization.
31301132020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3637 (or 3635 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 31301132020 its reverse (2023110313), we get a palindrome (33324242333).
The spelling of 31301132020 in words is "thirty-one billion, three hundred one million, one hundred thirty-two thousand, twenty".
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