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2121210112 = 2874128871
BaseRepresentation
bin111111001101111…
…0001100100000000
312110211102122020111
41332123301210000
513321012210422
6550252521104
7103364663020
oct17633614400
95424378214
102121210112
1199940560a
124b2480194
1327a606018
14161a0ba80
15c6356a77
hex7e6f1900

2121210112 has 72 divisors (see below), whose sum is σ = 4957206912. Its totient is φ = 886886400.

The previous prime is 2121210107. The next prime is 2121210127. The reversal of 2121210112 is 2110121212.

It is a super-3 number, since 3×21212101123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121210092 and 2121210101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59037 + ... + 87907.

It is an arithmetic number, because the mean of its divisors is an integer number (68850096).

Almost surely, 22121210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478603456).

2121210112 is an abundant number, since it is smaller than the sum of its proper divisors (2835996800).

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

2121210112 is an equidigital number, since it uses as much as digits as its factorization.

2121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28935 (or 28921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2121210112 is about 46056.5968347641. The cubic root of 2121210112 is about 1284.8760370357.

Adding to 2121210112 its reverse (2110121212), we get a palindrome (4231331324).

Subtracting from 2121210112 its reverse (2110121212), we obtain a square (11088900 = 33302).

The spelling of 2121210112 in words is "two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 896 1148 1312 1792 2296 2624 4592 5248 9184 10496 18368 28871 36736 57742 73472 115484 202097 230968 404194 461936 808388 923872 1183711 1616776 1847744 2367422 3233552 3695488 4734844 6467104 7390976 8285977 9469688 12934208 16571954 18939376 25868416 33143908 37878752 51736832 66287816 75757504 132575632 151515008 265151264 303030016 530302528 1060605056 2121210112