Base | Representation |
---|---|
bin | 1011100011011010… |
… | …0011110010010100 |
3 | 22000010122212200001 |
4 | 2320312203302110 |
5 | 22322413410400 |
6 | 1231423501044 |
7 | 136565462260 |
oct | 27066436224 |
9 | 8003585601 |
10 | 3101310100 |
11 | 13516771a9 |
12 | 726757784 |
13 | 3a5696445 |
14 | 215c590a0 |
15 | 132406a6a |
hex | b8da3c94 |
3101310100 has 144 divisors (see below), whose sum is σ = 7871246208. Its totient is φ = 1038735360.
The previous prime is 3101310059. The next prime is 3101310101. The reversal of 3101310100 is 10131013.
3101310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3101310101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7000479 + ... + 7000921.
It is an arithmetic number, because the mean of its divisors is an integer number (54661432).
Almost surely, 23101310100 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 3101310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935623104).
3101310100 is an abundant number, since it is smaller than the sum of its proper divisors (4769936108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3101310100 is a wasteful number, since it uses less digits than its factorization.
3101310100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 674 (or 667 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 10.
The square root of 3101310100 is about 55689.4074308571. The cubic root of 3101310100 is about 1458.3051108189.
Adding to 3101310100 its reverse (10131013), we get a palindrome (3111441113).
It can be divided in two parts, 3101 and 310100, that multiplied together give a square (961620100 = 310102).
The spelling of 3101310100 in words is "three billion, one hundred one million, three hundred ten thousand, one hundred".
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