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112505373405 = 3253736702733
BaseRepresentation
bin110100011000111010…
…1111100001011011101
3101202101200201010120200
41220301311330023131
53320402333422110
6123403444334113
711061662616045
oct1506165741335
9352350633520
10112505373405
1143793394247
12199799a4339
13a7bc58b089
145633c32725
152dd70356c0
hex1a31d7c2dd

112505373405 has 24 divisors (see below), whose sum is σ = 195532156248. Its totient is φ = 59841991296.

The previous prime is 112505373389. The next prime is 112505373413. The reversal of 112505373405 is 504373505211.

112505373405 is a `hidden beast` number, since 11 + 250 + 53 + 7 + 340 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18441096804 + 94064276601 = 135798^2 + 306699^2 .

It is not a de Polignac number, because 112505373405 - 24 = 112505373389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112505373405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3334582 + ... + 3368151.

It is an arithmetic number, because the mean of its divisors is an integer number (8147173177).

Almost surely, 2112505373405 is an apocalyptic number.

112505373405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112505373405 is a deficient number, since it is larger than the sum of its proper divisors (83026782843).

112505373405 is a wasteful number, since it uses less digits than its factorization.

112505373405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703117 (or 6703114 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 112505373405 its reverse (504373505211), we get a palindrome (616878878616).

The spelling of 112505373405 in words is "one hundred twelve billion, five hundred five million, three hundred seventy-three thousand, four hundred five".

Divisors: 1 3 5 9 15 45 373 1119 1865 3357 5595 16785 6702733 20108199 33513665 60324597 100540995 301622985 2500119409 7500358227 12500597045 22501074681 37501791135 112505373405