Search a number
-
+
2121020113 = 17373334493
BaseRepresentation
bin111111001101100…
…0011001011010001
312110211001222121111
41332123003023101
513320440120423
6550244453321
7103363242052
oct17633031321
95424058544
102121020113
11999295893
124b23aa241
1327a56a6b4
1416199c729
15c631a60d
hex7e6c32d1

2121020113 has 8 divisors (see below), whose sum is σ = 2251813608. Its totient is φ = 1990896384.

The previous prime is 2121020071. The next prime is 2121020117. The reversal of 2121020113 is 3110201212.

It can be written as a sum of positive squares in 4 ways, for example, as 133911184 + 1987108929 = 11572^2 + 44577^2 .

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

It is not a de Polignac number, because 2121020113 - 229 = 1584149201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121020093 and 2121020102.

It is not an unprimeable number, because it can be changed into a prime (2121020117) 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, 160906 + ... + 173587.

It is an arithmetic number, because the mean of its divisors is an integer number (281476701).

Almost surely, 22121020113 is an apocalyptic number.

It is an amenable number.

2121020113 is a deficient number, since it is larger than the sum of its proper divisors (130793495).

2121020113 is a wasteful number, since it uses less digits than its factorization.

2121020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334883.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2121020113 is about 46054.5341198888. The cubic root of 2121020113 is about 1284.8376733284.

Adding to 2121020113 its reverse (3110201212), we get a palindrome (5231221325).

The spelling of 2121020113 in words is "two billion, one hundred twenty-one million, twenty thousand, one hundred thirteen".

Divisors: 1 17 373 6341 334493 5686381 124765889 2121020113