Search a number
-
+
112431204252 = 22333728135937
BaseRepresentation
bin110100010110101101…
…1000000011110011100
3101202012112010221122000
41220231123000132130
53320224342014002
6123352234522300
711060102316333
oct1505533003634
9352175127560
10112431204252
1143755535924
1219958b96390
13a7aa0bc9c3
145628046d1a
152dd078461c
hex1a2d6c079c

112431204252 has 48 divisors (see below), whose sum is σ = 299366380320. Its totient is φ = 36464173056.

The previous prime is 112431204251. The next prime is 112431204287. The reversal of 112431204252 is 252402134211.

112431204252 is a `hidden beast` number, since 1 + 1 + 2 + 431 + 204 + 25 + 2 = 666.

112431204252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112431204251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14063973 + ... + 14071964.

It is an arithmetic number, because the mean of its divisors is an integer number (6236799590).

Almost surely, 2112431204252 is an apocalyptic number.

112431204252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112431204252 is an abundant number, since it is smaller than the sum of its proper divisors (186935176068).

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

112431204252 is a wasteful number, since it uses less digits than its factorization.

112431204252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28135987 (or 28135979 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 112431204252 its reverse (252402134211), we get a palindrome (364833338463).

The spelling of 112431204252 in words is "one hundred twelve billion, four hundred thirty-one million, two hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 28135937 56271874 84407811 112543748 168815622 253223433 337631244 506446866 759670299 1012893732 1041029669 1519340598 2082059338 3038681196 3123089007 4164118676 6246178014 9369267021 12492356028 18738534042 28107801063 37477068084 56215602126 112431204252