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213031 = 7132341
BaseRepresentation
bin110100000000100111
3101211020001
4310000213
523304111
64322131
71545040
oct640047
9354201
10213031
11136065
12a3347
1375c70
14578c7
15431c1
hex34027

213031 has 8 divisors (see below), whose sum is σ = 262304. Its totient is φ = 168480.

The previous prime is 213029. The next prime is 213043. The reversal of 213031 is 130312.

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

It is not a de Polignac number, because 213031 - 21 = 213029 is a prime.

It is a super-2 number, since 2×2130312 = 90764413922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212999 and 213017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213091) 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, 1080 + ... + 1261.

It is an arithmetic number, because the mean of its divisors is an integer number (32788).

2213031 is an apocalyptic number.

213031 is a deficient number, since it is larger than the sum of its proper divisors (49273).

213031 is a wasteful number, since it uses less digits than its factorization.

213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 213031 is about 461.5528138794. The cubic root of 213031 is about 59.7238233171.

Adding to 213031 its reverse (130312), we get a palindrome (343343).

It can be divided in two parts, 2 and 13031, that multiplied together give a palindrome (26062).

The spelling of 213031 in words is "two hundred thirteen thousand, thirty-one".

Divisors: 1 7 13 91 2341 16387 30433 213031