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112201434020 = 225131607326849
BaseRepresentation
bin110100001111110111…
…0100000001110100100
3101201121111210102010102
41220133232200032210
53314242031342040
6123313350043232
711051312311304
oct1503756401644
9351544712112
10112201434020
114364786a075
12198b4049518
13a7716111a0
145605715604
152dba4e9515
hex1a1fba03a4

112201434020 has 48 divisors (see below), whose sum is σ = 253773097200. Its totient is φ = 41424101376.

The previous prime is 112201433959. The next prime is 112201434029. The reversal of 112201434020 is 20434102211.

It can be written as a sum of positive squares in 8 ways, for example, as 31360159744 + 80841274276 = 177088^2 + 284326^2 .

It is a super-2 number, since 2×1122014340202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112201433983 and 112201434001.

It is not an unprimeable number, because it can be changed into a prime (112201434029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4165556 + ... + 4192404.

It is an arithmetic number, because the mean of its divisors is an integer number (5286939525).

Almost surely, 2112201434020 is an apocalyptic number.

112201434020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201434020 is an abundant number, since it is smaller than the sum of its proper divisors (141571663180).

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

112201434020 is a wasteful number, since it uses less digits than its factorization.

112201434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42944 (or 42942 counting only the distinct ones).

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

Adding to 112201434020 its reverse (20434102211), we get a palindrome (132635536231).

The spelling of 112201434020 in words is "one hundred twelve billion, two hundred one million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 16073 26849 32146 53698 64292 80365 107396 134245 160730 208949 268490 321460 349037 417898 536980 698074 835796 1044745 1396148 1745185 2089490 3490370 4178980 6980740 431543977 863087954 1726175908 2157719885 4315439770 5610071701 8630879540 11220143402 22440286804 28050358505 56100717010 112201434020