Base | Representation |
---|---|
bin | 10010101010011… |
… | …000011011100000 |
3 | 210211011010110022 |
4 | 102222120123200 |
5 | 1120123200000 |
6 | 51022453012 |
7 | 10521206663 |
oct | 2252303340 |
9 | 724133408 |
10 | 313100000 |
11 | 150811734 |
12 | 88a34168 |
13 | 4cb36695 |
14 | 2d8236da |
15 | 1c74a585 |
hex | 12a986e0 |
313100000 has 144 divisors (see below), whose sum is σ = 803198592. Its totient is φ = 120000000.
The previous prime is 313099973. The next prime is 313100003. The reversal of 313100000 is 1313.
It is a super-2 number, since 2×3131000002 = 196063220000000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313100003) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3099950 + ... + 3100050.
It is an arithmetic number, because the mean of its divisors is an integer number (5577768).
Almost surely, 2313100000 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 313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401599296).
313100000 is an abundant number, since it is smaller than the sum of its proper divisors (490098592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313100000 is an equidigital number, since it uses as much as digits as its factorization.
313100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 167 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 8.
The square root of 313100000 is about 17694.6319543527. The cubic root of 313100000 is about 679.0384333071.
Adding to 313100000 its reverse (1313), we get a palindrome (313101313).
The spelling of 313100000 in words is "three hundred thirteen million, one hundred thousand".
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