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112023444013 = 13372113110221
BaseRepresentation
bin110100001010100011…
…1100001101000101101
3101201011002212120201221
41220111013201220231
53313411000202023
6123243551103341
711044021364065
oct1502507415055
9351132776657
10112023444013
114356634a598
1219864511b51
13a743792160
1455c9c223a5
152da9a8b85d
hex1a151e1a2d

112023444013 has 16 divisors (see below), whose sum is σ = 123960951856. Its totient is φ = 100562964480.

The previous prime is 112023443993. The next prime is 112023444017. The reversal of 112023444013 is 310444320211.

It can be written as a sum of positive squares in 8 ways, for example, as 30311506404 + 81711937609 = 174102^2 + 285853^2 .

It is a cyclic number.

It is not a de Polignac number, because 112023444013 - 25 = 112023443981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112023444017) 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 15 ways as a sum of consecutive naturals, for example, 961243 + ... + 1071463.

It is an arithmetic number, because the mean of its divisors is an integer number (7747559491).

Almost surely, 2112023444013 is an apocalyptic number.

112023444013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112023444013 is a deficient number, since it is larger than the sum of its proper divisors (11937507843).

112023444013 is a wasteful number, since it uses less digits than its factorization.

112023444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112384.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 112023444013 its reverse (310444320211), we get a palindrome (422467764224).

The spelling of 112023444013 in words is "one hundred twelve billion, twenty-three million, four hundred forty-four thousand, thirteen".

Divisors: 1 13 37 481 2113 27469 78181 110221 1016353 1432873 4078177 53016301 232896973 3027660649 8617188001 112023444013