Base | Representation |
---|---|
bin | 1011101010011111… |
… | …0100110111010000 |
3 | 22002012112101201220 |
4 | 2322213310313100 |
5 | 22403014033240 |
6 | 1234404125040 |
7 | 140406036435 |
oct | 27247646720 |
9 | 8065471656 |
10 | 3131002320 |
11 | 1367407426 |
12 | 734696780 |
13 | 3ab8912c4 |
14 | 219b87b8c |
15 | 134d1e5d0 |
hex | ba9f4dd0 |
3131002320 has 80 divisors (see below), whose sum is σ = 9755030400. Its totient is φ = 830725632.
The previous prime is 3131002309. The next prime is 3131002321. The reversal of 3131002320 is 232001313.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 3131002320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3131002321) 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, 14982 + ... + 80538.
It is an arithmetic number, because the mean of its divisors is an integer number (121937880).
Almost surely, 23131002320 is an apocalyptic number.
3131002320 is a gapful number since it is divisible by the number (30) 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 3131002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877515200).
3131002320 is an abundant number, since it is smaller than the sum of its proper divisors (6624028080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3131002320 is a wasteful number, since it uses less digits than its factorization.
3131002320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65772 (or 65766 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 3131002320 is about 55955.3600649661. The cubic root of 3131002320 is about 1462.9443179178.
Adding to 3131002320 its reverse (232001313), we get a palindrome (3363003633).
The spelling of 3131002320 in words is "three billion, one hundred thirty-one million, two thousand, three hundred twenty".
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