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2111312112 = 243713895431
BaseRepresentation
bin111110111011000…
…0001000011110000
312110010210202201220
41331312001003300
513310443441422
6545300425040
7103214566620
oct17566010360
95403722656
102111312112
11993865048
124ab0a8180
1327854ba10
14160592880
15c554de5c
hex7dd810f0

2111312112 has 160 divisors (see below), whose sum is σ = 6789565440. Its totient is φ = 550471680.

The previous prime is 2111312087. The next prime is 2111312153. The reversal of 2111312112 is 2112131112.

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 = 2111312091 and 2111312100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386037 + ... + 391467.

It is an arithmetic number, because the mean of its divisors is an integer number (42434784).

Almost surely, 22111312112 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 2111312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394782720).

2111312112 is an abundant number, since it is smaller than the sum of its proper divisors (4678253328).

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

2111312112 is a wasteful number, since it uses less digits than its factorization.

2111312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5545 counting only the distinct ones).

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

The square root of 2111312112 is about 45949.0164421394. The cubic root of 2111312112 is about 1282.8744224045.

Adding to 2111312112 its reverse (2112131112), we get a palindrome (4223443224).

The spelling of 2111312112 in words is "two billion, one hundred eleven million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 89 91 104 112 156 168 178 182 208 267 273 312 336 356 364 534 546 623 624 712 728 1068 1092 1157 1246 1424 1456 1869 2136 2184 2314 2492 3471 3738 4272 4368 4628 4984 5431 6942 7476 8099 9256 9968 10862 13884 14952 16198 16293 18512 21724 24297 27768 29904 32396 32586 38017 43448 48594 55536 64792 65172 70603 76034 86896 97188 114051 129584 130344 141206 152068 194376 211809 228102 260688 282412 304136 388752 423618 456204 483359 494221 564824 608272 847236 912408 966718 988442 1129648 1450077 1482663 1694472 1824816 1933436 1976884 2900154 2965326 3383513 3388944 3866872 3953768 5800308 5930652 6283667 6767026 7733744 7907536 10150539 11600616 11861304 12567334 13534052 18851001 20301078 23201232 23722608 25134668 27068104 37702002 40602156 43985669 50269336 54136208 75404004 81204312 87971338 100538672 131957007 150808008 162408624 175942676 263914014 301616016 351885352 527828028 703770704 1055656056 2111312112