Base | Representation |
---|---|
bin | 111011101010111… |
… | …1100101100010001 |
3 | 12011112120110010000 |
4 | 1313111330230101 |
5 | 13100033223241 |
6 | 530403000213 |
7 | 100421531112 |
oct | 16725745421 |
9 | 5145513100 |
10 | 2002242321 |
11 | 938239322 |
12 | 47a669069 |
13 | 25ba80b91 |
14 | 14dcc0209 |
15 | baba6eb6 |
hex | 7757cb11 |
2002242321 has 40 divisors (see below), whose sum is σ = 3089667240. Its totient is φ = 1291500288.
The previous prime is 2002242317. The next prime is 2002242329. The reversal of 2002242321 is 1232422002.
2002242321 is a `hidden beast` number, since 200 + 22 + 423 + 21 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 60606225 + 1941636096 = 7785^2 + 44064^2 .
It is not a de Polignac number, because 2002242321 - 22 = 2002242317 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2002242294 and 2002242303.
It is not an unprimeable number, because it can be changed into a prime (2002242329) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310195 + ... + 316583.
It is an arithmetic number, because the mean of its divisors is an integer number (77241681).
Almost surely, 22002242321 is an apocalyptic number.
It is an amenable number.
2002242321 is a deficient number, since it is larger than the sum of its proper divisors (1087424919).
2002242321 is an equidigital number, since it uses as much as digits as its factorization.
2002242321 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6527 (or 6518 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2002242321 is about 44746.4224380006. The cubic root of 2002242321 is about 1260.3917319401.
Adding to 2002242321 its reverse (1232422002), we get a palindrome (3234664323).
The spelling of 2002242321 in words is "two billion, two million, two hundred forty-two thousand, three hundred twenty-one".
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