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112403007405 = 32513192141893
BaseRepresentation
bin110100010101110111…
…1011100011110101101
3101202010120002101211100
41220223233130132231
53320200132214110
6123345350313313
711056310540643
oct1505357343655
9352116071740
10112403007405
1143740627147
121994b658839
13a7a42c9690
1456243c7193
152dcd064bc0
hex1a2bbdc7ad

112403007405 has 24 divisors (see below), whose sum is σ = 209818948248. Its totient is φ = 55336864896.

The previous prime is 112403007401. The next prime is 112403007413. The reversal of 112403007405 is 504700304211.

112403007405 is a `hidden beast` number, since 11 + 240 + 3 + 0 + 0 + 7 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117029124 + 112285978281 = 10818^2 + 335091^2 .

It is not a de Polignac number, because 112403007405 - 22 = 112403007401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112403007401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96070362 + ... + 96071531.

It is an arithmetic number, because the mean of its divisors is an integer number (8742456177).

Almost surely, 2112403007405 is an apocalyptic number.

112403007405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112403007405 is a deficient number, since it is larger than the sum of its proper divisors (97415940843).

112403007405 is a wasteful number, since it uses less digits than its factorization.

112403007405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192141917 (or 192141914 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 112403007405 in words is "one hundred twelve billion, four hundred three million, seven thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 192141893 576425679 960709465 1729277037 2497844609 2882128395 7493533827 8646385185 12489223045 22480601481 37467669135 112403007405