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2112423104 = 261129107967
BaseRepresentation
bin111110111101001…
…0000010011000000
312110012220012201202
41331322100103000
513311240014404
6545340320332
7103230204641
oct17572202300
95405805652
102112423104
11994453820
124ab5430a8
1327884a5cc
141607a16c8
15c56bd21e
hex7de904c0

2112423104 has 112 divisors (see below), whose sum is σ = 4779751680. Its totient is φ = 917468160.

The previous prime is 2112423091. The next prime is 2112423121. The reversal of 2112423104 is 4013242112.

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, 2184029 + ... + 2184995.

Almost surely, 22112423104 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 2112423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389875840).

2112423104 is an abundant number, since it is smaller than the sum of its proper divisors (2667328576).

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

2112423104 is a wasteful number, since it uses less digits than its factorization.

2112423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2112423104 is about 45961.1042513123. The cubic root of 2112423104 is about 1283.0994030835.

Adding to 2112423104 its reverse (4013242112), we get a palindrome (6125665216).

The spelling of 2112423104 in words is "two billion, one hundred twelve million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 107 116 176 214 232 319 352 428 464 638 704 856 928 967 1177 1276 1712 1856 1934 2354 2552 3103 3424 3868 4708 5104 6206 6848 7736 9416 10208 10637 12412 15472 18832 20416 21274 24824 28043 30944 34133 37664 42548 49648 56086 61888 68266 75328 85096 99296 103469 112172 136532 170192 198592 206938 224344 273064 308473 340384 413876 448688 546128 616946 680768 827752 897376 1092256 1138159 1233892 1655504 1794752 2184512 2276318 2467784 3000601 3311008 4552636 4935568 6001202 6622016 9105272 9871136 12002404 18210544 19742272 24004808 33006611 36421088 48009616 66013222 72842176 96019232 132026444 192038464 264052888 528105776 1056211552 2112423104