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112441444401 = 311131933135593
BaseRepresentation
bin110100010111000001…
…0000100100000110001
3101202020020102012110210
41220232002010200301
53320240002210101
6123353242214333
711060255336106
oct1505602044061
9352206365423
10112441444401
114376029a460
12199604b43a9
13a7ac266970
145629550aad
152dd16087d6
hex1a2e084831

112441444401 has 32 divisors (see below), whose sum is σ = 176224470912. Its totient is φ = 62871298560.

The previous prime is 112441444393. The next prime is 112441444403. The reversal of 112441444401 is 104444144211.

It is not a de Polignac number, because 112441444401 - 23 = 112441444393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112441444403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 761461 + ... + 897053.

It is an arithmetic number, because the mean of its divisors is an integer number (5507014716).

Almost surely, 2112441444401 is an apocalyptic number.

112441444401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112441444401 is a deficient number, since it is larger than the sum of its proper divisors (63783026511).

112441444401 is a wasteful number, since it uses less digits than its factorization.

112441444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137553.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 112441444401 its reverse (104444144211), we get a palindrome (216885588612).

The spelling of 112441444401 in words is "one hundred twelve billion, four hundred forty-one million, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 11 13 33 39 143 429 1933 5799 21263 25129 63789 75387 135593 276419 406779 829257 1491523 1762709 4474569 5288127 19389799 58169397 262101269 786303807 2883113959 3407316497 8649341877 10221949491 37480481467 112441444401