Base | Representation |
---|---|
bin | 11100111110111101… |
… | …001100111100111100 |
3 | 2222022212122201102211 |
4 | 130332331030330330 |
5 | 1002213434033200 |
6 | 22144035030204 |
7 | 2151131104063 |
oct | 347675147474 |
9 | 88285581384 |
10 | 31121002300 |
11 | 1221aaa3713 |
12 | 604643b364 |
13 | 2c1c6ba47b |
14 | 17132931da |
15 | c2225caba |
hex | 73ef4cf3c |
31121002300 has 144 divisors (see below), whose sum is σ = 71349933312. Its totient is φ = 11766988800.
The previous prime is 31121002279. The next prime is 31121002309. The reversal of 31121002300 is 320012113.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31121002309) 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 47 ways as a sum of consecutive naturals, for example, 25571292 + ... + 25572508.
It is an arithmetic number, because the mean of its divisors is an integer number (495485648).
Almost surely, 231121002300 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 31121002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35674966656).
31121002300 is an abundant number, since it is smaller than the sum of its proper divisors (40228931012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31121002300 is a wasteful number, since it uses less digits than its factorization.
31121002300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
Adding to 31121002300 its reverse (320012113), we get a palindrome (31441014413).
The spelling of 31121002300 in words is "thirty-one billion, one hundred twenty-one million, two thousand, three hundred".
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