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112033043441 = 1123725024133
BaseRepresentation
bin110100001010110110…
…0001001001111110001
3101201011202221021200022
41220111230021033301
53313420424342231
6123244532533225
711044166104544
oct1502554111761
9351152837608
10112033043441
1143570806800
1219867781215
13a7457735a7
1455cb20085b
152daa835c7b
hex1a15b093f1

112033043441 has 12 divisors (see below), whose sum is σ = 126471973236. Its totient is φ = 99095562720.

The previous prime is 112033043431. The next prime is 112033043461. The reversal of 112033043441 is 144340330211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75141774400 + 36891269041 = 274120^2 + 192071^2 .

It is a de Polignac number, because none of the positive numbers 2k-112033043441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112033043441.

It is not an unprimeable number, because it can be changed into a prime (112033043431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12507590 + ... + 12516543.

It is an arithmetic number, because the mean of its divisors is an integer number (10539331103).

Almost surely, 2112033043441 is an apocalyptic number.

112033043441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112033043441 is a deficient number, since it is larger than the sum of its proper divisors (14438929795).

112033043441 is a wasteful number, since it uses less digits than its factorization.

112033043441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25024192 (or 25024181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 112033043441 its reverse (144340330211), we get a palindrome (256373373652).

The spelling of 112033043441 in words is "one hundred twelve billion, thirty-three million, forty-three thousand, four hundred forty-one".

Divisors: 1 11 37 121 407 4477 25024133 275265463 925892921 3027920093 10184822131 112033043441