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112041020021 = 722978846601
BaseRepresentation
bin110100001011000101…
…0100100101001110101
3101201012022221112111012
41220112022210221311
53313430000120041
6123245415522005
711044323646100
oct1502612445165
9351168845435
10112041020021
1143575264717
121986a389305
13a747307168
1455cc2b9737
152dab3ae3eb
hex1a162a4a75

112041020021 has 12 divisors (see below), whose sum is σ = 134827689420. Its totient is φ = 92723601600.

The previous prime is 112041020017. The next prime is 112041020033. The reversal of 112041020021 is 120020140211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74109172900 + 37931847121 = 272230^2 + 194761^2 .

It is not a de Polignac number, because 112041020021 - 22 = 112041020017 is a prime.

It is a super-2 number, since 2×1120410200212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112041019978 and 112041020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112041020041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39421880 + ... + 39424721.

It is an arithmetic number, because the mean of its divisors is an integer number (11235640785).

Almost surely, 2112041020021 is an apocalyptic number.

It is an amenable number.

112041020021 is a deficient number, since it is larger than the sum of its proper divisors (22786669399).

112041020021 is an equidigital number, since it uses as much as digits as its factorization.

112041020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78846644 (or 78846637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112041020021 its reverse (120020140211), we get a palindrome (232061160232).

The spelling of 112041020021 in words is "one hundred twelve billion, forty-one million, twenty thousand, twenty-one".

Divisors: 1 7 29 49 203 1421 78846601 551926207 2286551429 3863483449 16005860003 112041020021