Search a number
-
+
2120435121 = 37100973101
BaseRepresentation
bin111111001100011…
…0100010110110001
312110202222021011010
41332120310112301
513320312410441
6550224141133
7103355254410
oct17630642661
95422867133
102120435121
11998a26322
124b21677a9
1327a3c434c
14161889477
15c6252116
hex7e6345b1

2120435121 has 8 divisors (see below), whose sum is σ = 3231139264. Its totient is φ = 1211677200.

The previous prime is 2120435117. The next prime is 2120435153. The reversal of 2120435121 is 1215340212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2120435121 - 22 = 2120435117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 100973101 = 2120435121 / (2 + 1 + 2 + 0 + 4 + 3 + 5 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120435101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50486530 + ... + 50486571.

It is an arithmetic number, because the mean of its divisors is an integer number (403892408).

Almost surely, 22120435121 is an apocalyptic number.

2120435121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120435121 is a deficient number, since it is larger than the sum of its proper divisors (1110704143).

2120435121 is a wasteful number, since it uses less digits than its factorization.

2120435121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100973111.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2120435121 is about 46048.1826025740. The cubic root of 2120435121 is about 1284.7195400983.

Adding to 2120435121 its reverse (1215340212), we get a palindrome (3335775333).

The spelling of 2120435121 in words is "two billion, one hundred twenty million, four hundred thirty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 21 100973101 302919303 706811707 2120435121