Base | Representation |
---|---|
bin | 111100010011001… |
… | …0100111011001100 |
3 | 12020000012221210020 |
4 | 1320212110323030 |
5 | 13120432004400 |
6 | 532434342140 |
7 | 101065610004 |
oct | 17046247314 |
9 | 5200187706 |
10 | 2023313100 |
11 | 949120096 |
12 | 48572a950 |
13 | 26324a7b3 |
14 | 152a07004 |
15 | bc96a2a0 |
hex | 78994ecc |
2023313100 has 144 divisors (see below), whose sum is σ = 6028947456. Its totient is φ = 523584000.
The previous prime is 2023313029. The next prime is 2023313111. The reversal of 2023313100 is 13133202.
2023313100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×20233131002 = 8187591801263220000, which contains 22 as substring.
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 2023313100.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3332997 + ... + 3333603.
Almost surely, 22023313100 is an apocalyptic number.
2023313100 is a gapful number since it is divisible by the number (20) 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 2023313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014473728).
2023313100 is an abundant number, since it is smaller than the sum of its proper divisors (4005634356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023313100 is a wasteful number, since it uses less digits than its factorization.
2023313100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 936 (or 929 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 2023313100 is about 44981.2527615672. The cubic root of 2023313100 is about 1264.7975950331.
Adding to 2023313100 its reverse (13133202), we get a palindrome (2036446302).
It can be divided in two parts, 20233 and 13100, that added together give a palindrome (33333).
The spelling of 2023313100 in words is "two billion, twenty-three million, three hundred thirteen thousand, one hundred".
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