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1112332032 = 28327174057
BaseRepresentation
bin100001001001100…
…1101011100000000
32212112001022200200
41002103031130000
54234224111112
6302213045200
736364444350
oct10223153400
92775038620
101112332032
11520978579
12270626800
131495aab46
14a7a2cb60
15679becdc
hex424cd700

1112332032 has 216 divisors, whose sum is σ = 3881850336. Its totient is φ = 299040768.

The previous prime is 1112332019. The next prime is 1112332069. The reversal of 1112332032 is 2302332111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1112331996 and 1112332014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272148 + ... + 276204.

Almost surely, 21112332032 is an apocalyptic number.

1112332032 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 1112332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940925168).

1112332032 is an abundant number, since it is smaller than the sum of its proper divisors (2769518304).

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

1112332032 is a wasteful number, since it uses less digits than its factorization.

1112332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1112332032 is about 33351.6421184925. The cubic root of 1112332032 is about 1036.1233982897.

Adding to 1112332032 its reverse (2302332111), we get a palindrome (3414664143).

The spelling of 1112332032 in words is "one billion, one hundred twelve million, three hundred thirty-two thousand, thirty-two".