Search a number
-
+
2033132121 = 321013376637
BaseRepresentation
bin111100100101111…
…0010001001011001
312020200200210221200
41321023302021121
513130440211441
6533425024413
7101245223616
oct17113621131
95220623850
102033132121
11953717289
12488a85109
132652a7b77
1415404150d
15bd7597b6
hex792f2259

2033132121 has 24 divisors (see below), whose sum is σ = 2975071944. Its totient is φ = 1337817600.

The previous prime is 2033132113. The next prime is 2033132147. The reversal of 2033132121 is 1212313302.

It can be written as a sum of positive squares in 4 ways, for example, as 109432521 + 1923699600 = 10461^2 + 43860^2 .

It is not a de Polignac number, because 2033132121 - 23 = 2033132113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2033132094 and 2033132103.

It is not an unprimeable number, because it can be changed into a prime (2033132191) 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, 303015 + ... + 309651.

It is an arithmetic number, because the mean of its divisors is an integer number (123961331).

Almost surely, 22033132121 is an apocalyptic number.

It is an amenable number.

2033132121 is a deficient number, since it is larger than the sum of its proper divisors (941939823).

2033132121 is a wasteful number, since it uses less digits than its factorization.

2033132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7081 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2033132121 is about 45090.2663664787. The cubic root of 2033132121 is about 1266.8402906583.

Adding to 2033132121 its reverse (1212313302), we get a palindrome (3245445423).

The spelling of 2033132121 in words is "two billion, thirty-three million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 337 909 1011 3033 6637 19911 34037 59733 102111 306333 670337 2011011 2236669 6033033 6710007 20130021 225903569 677710707 2033132121