Search a number
-
+
2121113112 = 233733493469
BaseRepresentation
bin111111001101101…
…1001111000011000
312110211020201011220
41332123121320120
513321001104422
6550250452040
7103364110146
oct17633317030
95424221156
102121113112
11999349748
124b2434020
1327a5a0b21
141619c4596
15c6337e5c
hex7e6d9e18

2121113112 has 64 divisors (see below), whose sum is σ = 5392380000. Its totient is φ = 695153664.

The previous prime is 2121113101. The next prime is 2121113129. The reversal of 2121113112 is 2113111212.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2121113091 and 2121113100.

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, 609714 + ... + 613182.

Almost surely, 22121113112 is an apocalyptic number.

It is an amenable number.

2121113112 is an abundant number, since it is smaller than the sum of its proper divisors (3271266888).

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

2121113112 is a wasteful number, since it uses less digits than its factorization.

2121113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3896 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 2121113112 is about 46055.5437705386. The cubic root of 2121113112 is about 1284.8564515367.

Adding to 2121113112 its reverse (2113111212), we get a palindrome (4234224324).

The spelling of 2121113112 in words is "two billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 349 438 584 698 876 1047 1396 1752 2094 2792 3469 4188 6938 8376 10407 13876 20814 25477 27752 41628 50954 76431 83256 101908 152862 203816 253237 305724 506474 611448 759711 1012948 1210681 1519422 2025896 2421362 3038844 3632043 4842724 6077688 7264086 9685448 14528172 29056344 88379713 176759426 265139139 353518852 530278278 707037704 1060556556 2121113112