Search a number
-
+
2129306112 = 29321672767
BaseRepresentation
bin111111011101010…
…1010001000000000
312111101122221212100
41332322222020000
513330100243422
6551142230400
7103523542353
oct17672521000
95441587770
102129306112
119a2a3521a
124b5125400
1327c1ac05b
14162b1829a
15c6e057ac
hex7eeaa200

2129306112 has 120 divisors (see below), whose sum is σ = 6184354176. Its totient is φ = 705263616.

The previous prime is 2129306107. The next prime is 2129306131. The reversal of 2129306112 is 2116039212.

2129306112 is a `hidden beast` number, since 2 + 12 + 9 + 30 + 611 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768153 + ... + 770919.

Almost surely, 22129306112 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 2129306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092177088).

2129306112 is an abundant number, since it is smaller than the sum of its proper divisors (4055048064).

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

2129306112 is a wasteful number, since it uses less digits than its factorization.

2129306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2129306112 is about 46144.4049912879. The cubic root of 2129306112 is about 1286.5086193276.

The spelling of 2129306112 in words is "two billion, one hundred twenty-nine million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 512 576 668 768 1002 1152 1336 1503 1536 2004 2304 2672 2767 3006 4008 4608 5344 5534 6012 8016 8301 10688 11068 12024 16032 16602 21376 22136 24048 24903 32064 33204 42752 44272 48096 49806 64128 66408 85504 88544 96192 99612 128256 132816 177088 192384 199224 256512 265632 354176 384768 398448 462089 531264 708352 769536 796896 924178 1062528 1386267 1416704 1593792 1848356 2125056 2772534 3187584 3696712 4158801 4250112 5545068 6375168 7393424 8317602 11090136 12750336 14786848 16635204 22180272 29573696 33270408 44360544 59147392 66540816 88721088 118294784 133081632 177442176 236589568 266163264 354884352 532326528 709768704 1064653056 2129306112