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112503090852 = 223219331496913
BaseRepresentation
bin110100011000110110…
…1001110111010100100
3101202101112102011111200
41220301231032322210
53320401242401402
6123403323402500
711061634331265
oct1506155167244
9352345364450
10112503090852
1143792075339
1219979083430
13a7bbc6c159
1456337da96c
152dd6c3421c
hex1a31b4eea4

112503090852 has 72 divisors (see below), whose sum is σ = 300255315360. Its totient is φ = 35419887360.

The previous prime is 112503090851. The next prime is 112503090857. The reversal of 112503090852 is 258090305211.

112503090852 is a `hidden beast` number, since 1 + 12 + 503 + 0 + 90 + 8 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112503090851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22053 + ... + 474860.

Almost surely, 2112503090852 is an apocalyptic number.

112503090852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112503090852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150127657680).

112503090852 is an abundant number, since it is smaller than the sum of its proper divisors (187752224508).

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

112503090852 is a wasteful number, since it uses less digits than its factorization.

112503090852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497273 (or 497268 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 112503090852 in words is "one hundred twelve billion, five hundred three million, ninety thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 331 342 662 684 993 1324 1986 2979 3972 5958 6289 11916 12578 18867 25156 37734 56601 75468 113202 226404 496913 993826 1490739 1987652 2981478 4472217 5962956 8944434 9441347 17888868 18882694 28324041 37765388 56648082 84972123 113296164 164478203 169944246 328956406 339888492 493434609 657912812 986869218 1480303827 1973738436 2960607654 3125085857 5921215308 6250171714 9375257571 12500343428 18750515142 28125772713 37501030284 56251545426 112503090852