Search a number
-
+
20001112110 = 2345723153371
BaseRepresentation
bin10010101000001010…
…001100000000101110
31220121220121202210000
4102220022030000232
5311430241041420
613104405125130
71305434435130
oct225012140056
956556552700
1020001112110
118534119621
123a623b97a6
131b699a6ba5
14d7a4d5050
157c0dda690
hex4a828c02e

20001112110 has 160 divisors (see below), whose sum is σ = 64136489472. Its totient is φ = 4372885440.

The previous prime is 20001112093. The next prime is 20001112121. The reversal of 20001112110 is 1121110002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001112092 and 20001112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53725 + ... + 207095.

Almost surely, 220001112110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32068244736).

20001112110 is an abundant number, since it is smaller than the sum of its proper divisors (44135377362).

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

20001112110 is a wasteful number, since it uses less digits than its factorization.

20001112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153420 (or 153411 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20001112110 its reverse (1121110002), we get a palindrome (21122222112).

The spelling of 20001112110 in words is "twenty billion, one million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 81 90 105 115 126 135 138 161 162 189 207 210 230 270 315 322 345 378 405 414 483 567 621 630 690 805 810 945 966 1035 1134 1242 1449 1610 1863 1890 2070 2415 2835 2898 3105 3726 4347 4830 5670 6210 7245 8694 9315 13041 14490 18630 21735 26082 43470 65205 130410 153371 306742 460113 766855 920226 1073597 1380339 1533710 2147194 2300565 2760678 3220791 3527533 4141017 4601130 5367985 6441582 6901695 7055066 8282034 9662373 10582599 10735970 12423051 13803390 16103955 17637665 19324746 20705085 21165198 24692731 24846102 28987119 31747797 32207910 35275330 41410170 48311865 49385462 52912995 57974238 62115255 63495594 74078193 86961357 95243391 96623730 105825990 123463655 124230510 144935595 148156386 158738985 173922714 190486782 222234579 246927310 285730173 289871190 317477970 370390965 434806785 444469158 476216955 571460346 666703737 740781930 869613570 952433910 1111172895 1333407474 1428650865 2000111211 2222345790 2857301730 3333518685 4000222422 6667037370 10000556055 20001112110