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213142 = 2197179
BaseRepresentation
bin110100000010010110
3101211101011
4310002112
523310032
64322434
71545256
oct640226
9354334
10213142
11136156
12a341a
1376027
1457966
1543247
hex34096

213142 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 98280.

The previous prime is 213139. The next prime is 213149. The reversal of 213142 is 241312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2659 + ... + 2737.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2213142 is an apocalyptic number.

213142 is a deficient number, since it is larger than the sum of its proper divisors (132458).

213142 is a wasteful number, since it uses less digits than its factorization.

213142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its digits is 48, while the sum is 13.

The square root of 213142 is about 461.6730444806. The cubic root of 213142 is about 59.7341945671.

Adding to 213142 its reverse (241312), we get a palindrome (454454).

It can be divided in two parts, 21314 and 2, that added together give a square (21316 = 1462).

The spelling of 213142 in words is "two hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 19 38 71 79 142 158 1349 1501 2698 3002 5609 11218 106571 213142