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211431 = 31143149
BaseRepresentation
bin110011100111100111
3101202000210
4303213213
523231211
64310503
71540263
oct634747
9352023
10211431
11134940
12a2433
137530c
14570a3
15429a6
hex339e7

211431 has 16 divisors (see below), whose sum is σ = 316800. Its totient is φ = 124320.

The previous prime is 211427. The next prime is 211433. The reversal of 211431 is 134112.

It is a happy number.

211431 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211431 - 22 = 211427 is a prime.

It is a super-2 number, since 2×2114312 = 89406135522, which contains 22 as substring.

211431 is strictly pandigital in base 7.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211431.

It is not an unprimeable number, because it can be changed into a prime (211433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2211431 is an apocalyptic number.

211431 is a deficient number, since it is larger than the sum of its proper divisors (105369).

211431 is a wasteful number, since it uses less digits than its factorization.

211431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206.

The product of its digits is 24, while the sum is 12.

The square root of 211431 is about 459.8162676548. The cubic root of 211431 is about 59.5739259549.

Adding to 211431 its reverse (134112), we get a palindrome (345543).

It can be divided in two parts, 2114 and 31, that added together give a triangular number (2145 = T65).

The spelling of 211431 in words is "two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 11 33 43 129 149 447 473 1419 1639 4917 6407 19221 70477 211431