Base | Representation |
---|---|
bin | 101101000111001100010… |
… | …110111111100100000000 |
3 | 101222100220022002010220112 |
4 | 231013030112333210000 |
5 | 401243001100000000 |
6 | 10332055525530452 |
7 | 436655240134553 |
oct | 55071426774400 |
9 | 11870808063815 |
10 | 3100100000000 |
11 | a958216a3303 |
12 | 4209a1273a28 |
13 | 196451c83133 |
14 | aa08d34869a |
15 | 55992633235 |
hex | 2d1cc5bf900 |
3100100000000 has 324 divisors, whose sum is σ = 8009322071100. Its totient is φ = 1196160000000.
The previous prime is 3100099999987. The next prime is 3100100000003. The reversal of 3100100000000 is 10013.
It can be written as a sum of positive squares in 18 ways, for example, as 139553050624 + 2960546949376 = 373568^2 + 1720624^2 .
It is a super-2 number, since 2×31001000000002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (5).
It is a self number, because there is not a number n which added to its sum of digits gives 3100100000000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3100100000003) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2899999466 + ... + 2900000534.
Almost surely, 23100100000000 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 3100100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004661035550).
3100100000000 is an abundant number, since it is smaller than the sum of its proper divisors (4909222071100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3100100000000 is an frugal number, since it uses more digits than its factorization.
3100100000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1154 (or 1105 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 5.
Adding to 3100100000000 its reverse (10013), we get a palindrome (3100100010013).
The spelling of 3100100000000 in words is "three trillion, one hundred billion, one hundred million", and thus it is an aban number.
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