Search a number
-
+
2142101 = 13533109
BaseRepresentation
bin1000001010111110010101
311000211102002
420022332111
51022021401
6113525045
724131123
oct10127625
94024362
102142101
111233435
12873785
135a0020
143da913
152c4a6b
hex20af95

2142101 has 8 divisors (see below), whose sum is σ = 2351160. Its totient is φ = 1939392.

The previous prime is 2142097. The next prime is 2142121. The reversal of 2142101 is 1012412.

2142101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39601 + 2102500 = 199^2 + 1450^2 .

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

It is not a de Polignac number, because 2142101 - 22 = 2142097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (293895).

22142101 is an apocalyptic number.

It is an amenable number.

2142101 is a deficient number, since it is larger than the sum of its proper divisors (209059).

2142101 is a wasteful number, since it uses less digits than its factorization.

2142101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2142101 is about 1463.5918146806. The cubic root of 2142101 is about 128.9080329218.

Adding to 2142101 its reverse (1012412), we get a palindrome (3154513).

The spelling of 2142101 in words is "two million, one hundred forty-two thousand, one hundred one".

Divisors: 1 13 53 689 3109 40417 164777 2142101