Search a number
-
+
211310 = 251117113
BaseRepresentation
bin110011100101101110
3101201212022
4303211232
523230220
64310142
71540031
oct634556
9351768
10211310
11134840
12a2352
1375248
1457018
1542925
hex3396e

211310 has 32 divisors (see below), whose sum is σ = 443232. Its totient is φ = 71680.

The previous prime is 211297. The next prime is 211313. The reversal of 211310 is 13112.

It is a super-2 number, since 2×2113102 = 89303832200, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313) 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 15 ways as a sum of consecutive naturals, for example, 1814 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (13851).

2211310 is an apocalyptic number.

211310 is an abundant number, since it is smaller than the sum of its proper divisors (231922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211310 is a wasteful number, since it uses less digits than its factorization.

211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 211310 is about 459.6846745324. The cubic root of 211310 is about 59.5625592512.

Adding to 211310 its reverse (13112), we get a palindrome (224422).

It can be divided in two parts, 21 and 1310, that added together give a palindrome (1331).

The spelling of 211310 in words is "two hundred eleven thousand, three hundred ten", and thus it is an iban number.

Divisors: 1 2 5 10 11 17 22 34 55 85 110 113 170 187 226 374 565 935 1130 1243 1870 1921 2486 3842 6215 9605 12430 19210 21131 42262 105655 211310