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112505050125 = 325313171972297
BaseRepresentation
bin110100011000111010…
…0101101010000001101
3101202101200002201010100
41220301310231100031
53320402243101000
6123403433401313
711061660101406
oct1506164552015
9352350081110
10112505050125
1143793193376
1219979869239
13a7bc4a6ba0
145633b8a9ad
152dd6ebea00
hex1a31d2d40d

112505050125 has 192 divisors, whose sum is σ = 232532524224. Its totient is φ = 51841843200.

The previous prime is 112505050121. The next prime is 112505050129. The reversal of 112505050125 is 521050505211.

112505050125 is a `hidden beast` number, since 11 + 25 + 0 + 505 + 0 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (112505050121) and next prime (112505050129).

It can be written as a sum of positive squares in 32 ways, for example, as 92203929801 + 20301120324 = 303651^2 + 142482^2 .

It is not a de Polignac number, because 112505050125 - 22 = 112505050121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112505050121) 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 191 ways as a sum of consecutive naturals, for example, 48977977 + ... + 48980273.

It is an arithmetic number, because the mean of its divisors is an integer number (1211106897).

Almost surely, 2112505050125 is an apocalyptic number.

112505050125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112505050125 is an abundant number, since it is smaller than the sum of its proper divisors (120027474099).

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

112505050125 is a wasteful number, since it uses less digits than its factorization.

112505050125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 112505050125 its reverse (521050505211), we get a palindrome (633555555336).

The spelling of 112505050125 in words is "one hundred twelve billion, five hundred five million, fifty thousand, one hundred twenty-five".