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2121141 = 3111719199
BaseRepresentation
bin1000000101110110110101
310222202122210
420011312311
51020334031
6113244033
724013041
oct10056665
93882583
102121141
111219710
12863619
13593619
143d3021
152bd746
hex205db5

2121141 has 32 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 1140480.

The previous prime is 2121131. The next prime is 2121143. The reversal of 2121141 is 1411212.

It is a happy number.

2121141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2121141 - 211 = 2119093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121143) 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 31 ways as a sum of consecutive naturals, for example, 10560 + ... + 10758.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

22121141 is an apocalyptic number.

It is an amenable number.

2121141 is a deficient number, since it is larger than the sum of its proper divisors (1334859).

2121141 is a wasteful number, since it uses less digits than its factorization.

2121141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its digits is 16, while the sum is 12.

The square root of 2121141 is about 1456.4137461587. The cubic root of 2121141 is about 128.4862082530.

Adding to 2121141 its reverse (1411212), we get a palindrome (3532353).

The spelling of 2121141 in words is "two million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 11 17 19 33 51 57 187 199 209 323 561 597 627 969 2189 3383 3553 3781 6567 10149 10659 11343 37213 41591 64277 111639 124773 192831 707047 2121141