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112505040020 = 2259296055169
BaseRepresentation
bin110100011000111010…
…0101010110010010100
3101202101200002012021002
41220301310222302110
53320402242240040
6123403433242432
711061660030062
oct1506164526224
9352350065232
10112505040020
114379318681a
1219979863418
13a7bc4a23c9
145633b87032
152dd6ebba15
hex1a31d2ac94

112505040020 has 24 divisors (see below), whose sum is σ = 236514940200. Its totient is φ = 44953567232.

The previous prime is 112505040007. The next prime is 112505040023. The reversal of 112505040020 is 20040505211.

It can be written as a sum of positive squares in 4 ways, for example, as 1814419216 + 110690620804 = 42596^2 + 332702^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112505039974 and 112505040001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112505040023) 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 7 ways as a sum of consecutive naturals, for example, 3009005 + ... + 3046164.

It is an arithmetic number, because the mean of its divisors is an integer number (9854789175).

Almost surely, 2112505040020 is an apocalyptic number.

112505040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112505040020 is an abundant number, since it is smaller than the sum of its proper divisors (124009900180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112505040020 is a wasteful number, since it uses less digits than its factorization.

112505040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056107 (or 6056105 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 112505040020 its reverse (20040505211), we get a palindrome (132545545231).

The spelling of 112505040020 in words is "one hundred twelve billion, five hundred five million, forty thousand, twenty".

Divisors: 1 2 4 5 10 20 929 1858 3716 4645 9290 18580 6055169 12110338 24220676 30275845 60551690 121103380 5625252001 11250504002 22501008004 28126260005 56252520010 112505040020