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20032112304 = 24321571934591
BaseRepresentation
bin10010101010000000…
…011100011010110000
31220201001221202001100
4102222000130122300
5312011210043204
613111433404400
71306262100531
oct225200343260
956631852040
1020032112304
11854a672516
123a70869700
131b7323c1b9
14d80684688
157c39b0a39
hex4aa01c6b0

20032112304 has 120 divisors (see below), whose sum is σ = 56723855552. Its totient is φ = 6599024640.

The previous prime is 20032112273. The next prime is 20032112339. The reversal of 20032112304 is 40321123002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4361049 + ... + 4365639.

Almost surely, 220032112304 is an apocalyptic number.

20032112304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28361927776).

20032112304 is an abundant number, since it is smaller than the sum of its proper divisors (36691743248).

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

20032112304 is a wasteful number, since it uses less digits than its factorization.

20032112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20032112304 its reverse (40321123002), we get a palindrome (60353235306).

The spelling of 20032112304 in words is "twenty billion, thirty-two million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 193 314 386 471 579 628 772 942 1158 1256 1413 1544 1737 1884 2316 2512 2826 3088 3474 3768 4591 4632 5652 6948 7536 9182 9264 11304 13773 13896 18364 22608 27546 27792 30301 36728 41319 55092 60602 73456 82638 90903 110184 121204 165276 181806 220368 242408 272709 330552 363612 484816 545418 661104 720787 727224 886063 1090836 1441574 1454448 1772126 2162361 2181672 2658189 2883148 3544252 4324722 4363344 5316378 5766296 6487083 7088504 7974567 8649444 10632756 11532592 12974166 14177008 15949134 17298888 21265512 25948332 31898268 34597776 42531024 51896664 63796536 103793328 127593072 139111891 278223782 417335673 556447564 834671346 1112895128 1252007019 1669342692 2225790256 2504014038 3338685384 5008028076 6677370768 10016056152 20032112304