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212031 = 337853
BaseRepresentation
bin110011110000111111
3101202212000
4303300333
523241111
64313343
71542111
oct636077
9352760
10212031
11135336
12a2853
1375681
14573b1
1542c56
hex33c3f

212031 has 8 divisors (see below), whose sum is σ = 314160. Its totient is φ = 141336.

The previous prime is 212029. The next prime is 212039. The reversal of 212031 is 130212.

It is a happy number.

It is not a de Polignac number, because 212031 - 21 = 212029 is a prime.

It is a super-2 number, since 2×2120312 = 89914289922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 212031.

It is not an unprimeable number, because it can be changed into a prime (212039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3900 + ... + 3953.

It is an arithmetic number, because the mean of its divisors is an integer number (39270).

2212031 is an apocalyptic number.

212031 is a deficient number, since it is larger than the sum of its proper divisors (102129).

212031 is an equidigital number, since it uses as much as digits as its factorization.

212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7862 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 212031 is about 460.4682399471. The cubic root of 212031 is about 59.6302257988.

Adding to 212031 its reverse (130212), we get a palindrome (342243).

The spelling of 212031 in words is "two hundred twelve thousand, thirty-one".

Divisors: 1 3 9 27 7853 23559 70677 212031