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211320120 = 233511160091
BaseRepresentation
bin11001001100001…
…11110100111000
3112201122011201010
430212013310320
5413044220440
632545153520
75144122434
oct1446076470
9481564633
10211320120
11a9314a30
125a92b8a0
1334a1b9bb
14200cb9c4
1513843580
hexc987d38

211320120 has 64 divisors (see below), whose sum is σ = 691597440. Its totient is φ = 51228800.

The previous prime is 211320119. The next prime is 211320143. The reversal of 211320120 is 21023112.

211320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211320096 and 211320105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78726 + ... + 81365.

It is an arithmetic number, because the mean of its divisors is an integer number (10806210).

Almost surely, 2211320120 is an apocalyptic number.

211320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320120 is an abundant number, since it is smaller than the sum of its proper divisors (480277320).

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

211320120 is a wasteful number, since it uses less digits than its factorization.

211320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160116 (or 160112 counting only the distinct ones).

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

The square root of 211320120 is about 14536.8538549440. The cubic root of 211320120 is about 595.6351008719.

Adding to 211320120 its reverse (21023112), we get a palindrome (232343232).

The spelling of 211320120 in words is "two hundred eleven million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 160091 320182 480273 640364 800455 960546 1280728 1600910 1761001 1921092 2401365 3201820 3522002 3842184 4802730 5283003 6403640 7044004 8805005 9605460 10566006 14088008 17610010 19210920 21132012 26415015 35220020 42264024 52830030 70440040 105660060 211320120