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111121200441 = 3288114014529
BaseRepresentation
bin110011101111101010…
…1101111010100111001
3101121211020010212020100
41213133111233110321
53310034011403231
6123014240550013
711012454422256
oct1473725572471
9347736125210
10111121200441
1143143025649
1219652322309
13a62b891514
14554208042d
152d5576a1e6
hex19df56f539

111121200441 has 12 divisors (see below), whose sum is σ = 160690600980. Its totient is φ = 73996707840.

The previous prime is 111121200433. The next prime is 111121200469. The reversal of 111121200441 is 144002121111.

111121200441 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 21 + 200 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9506250000 + 101614950441 = 97500^2 + 318771^2 .

It is not a de Polignac number, because 111121200441 - 23 = 111121200433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111121200041) 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, 6999336 + ... + 7015193.

It is an arithmetic number, because the mean of its divisors is an integer number (13390883415).

Almost surely, 2111121200441 is an apocalyptic number.

It is an amenable number.

111121200441 is a deficient number, since it is larger than the sum of its proper divisors (49569400539).

111121200441 is a wasteful number, since it uses less digits than its factorization.

111121200441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14015416 (or 14015413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111121200441 its reverse (144002121111), we get a palindrome (255123321552).

The spelling of 111121200441 in words is "one hundred eleven billion, one hundred twenty-one million, two hundred thousand, four hundred forty-one".

Divisors: 1 3 9 881 2643 7929 14014529 42043587 126130761 12346800049 37040400147 111121200441