Search a number
-
+
2124114212 = 2211211228793
BaseRepresentation
bin111111010011011…
…0110100100100100
312111000220011220202
41332212312210210
513322233123322
6550435050032
7103431446543
oct17646664444
95430804822
102124114212
119a00094a0
124b3440918
1327b0b1b1c
1416216615a
15c672c292
hex7e9b6924

2124114212 has 24 divisors (see below), whose sum is σ = 4074363552. Its totient is φ = 960926400.

The previous prime is 2124114191. The next prime is 2124114221.

2124114212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21241142122 = 9023722371240761888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105113 + ... + 123680.

It is an arithmetic number, because the mean of its divisors is an integer number (169765148).

Almost surely, 22124114212 is an apocalyptic number.

2124114212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2124114212 is a deficient number, since it is larger than the sum of its proper divisors (1950249340).

2124114212 is a wasteful number, since it uses less digits than its factorization.

2124114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229019 (or 229017 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2124114212 is about 46088.1135652133. The cubic root of 2124114212 is about 1285.4621343943.

It can be divided in two parts, 21241 and 14212, that added together give a palindrome (35453).

The spelling of 2124114212 in words is "two billion, one hundred twenty-four million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 211 422 844 2321 4642 9284 228793 457586 915172 2516723 5033446 10066892 48275323 96550646 193101292 531028553 1062057106 2124114212