Search a number
-
+
2120021112 = 2331141195863
BaseRepresentation
bin111111001011100…
…1111010001111000
312110202012020020110
41332113033101320
513320211133422
6550211224320
7103351611366
oct17627172170
95422166213
102120021112
11998773270
124b1ba80a0
1327a2aaa81
141617bc636
15c61be60c
hex7e5cf478

2120021112 has 64 divisors (see below), whose sum is σ = 5922927360. Its totient is φ = 626758400.

The previous prime is 2120021107. The next prime is 2120021119. The reversal of 2120021112 is 2111200212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120021119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87108 + ... + 108755.

It is an arithmetic number, because the mean of its divisors is an integer number (92545740).

Almost surely, 22120021112 is an apocalyptic number.

2120021112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2120021112 is an abundant number, since it is smaller than the sum of its proper divisors (3802906248).

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

2120021112 is a wasteful number, since it uses less digits than its factorization.

2120021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195924 (or 195920 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2120021112 is about 46043.6869939843. The cubic root of 2120021112 is about 1284.6359220291.

Adding to 2120021112 its reverse (2111200212), we get a palindrome (4231221324).

Subtracting from 2120021112 its reverse (2111200212), we obtain a square (8820900 = 29702).

The spelling of 2120021112 in words is "two billion, one hundred twenty million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 195863 391726 587589 783452 1175178 1566904 2154493 2350356 4308986 4700712 6463479 8030383 8617972 12926958 16060766 17235944 24091149 25853916 32121532 48182298 51707832 64243064 88334213 96364596 176668426 192729192 265002639 353336852 530005278 706673704 1060010556 2120021112