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1131232032 = 253272194219
BaseRepresentation
bin100001101101101…
…0011101100100000
32220211121112121200
41003123103230200
54304043411112
6304130121200
740014212400
oct10333235440
92824545550
101131232032
11530607407
12276a20200
13150497688
14aa34c800
15694a4cdc
hex436d3b20

1131232032 has 216 divisors, whose sum is σ = 3940045200. Its totient is φ = 306125568.

The previous prime is 1131232031. The next prime is 1131232057. The reversal of 1131232032 is 2302321311.

1131232032 is a `hidden beast` number, since 1 + 1 + 312 + 320 + 32 = 666.

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 = 1131231996 and 1131232014.

It is not an unprimeable number, because it can be changed into a prime (1131232031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266019 + ... + 270237.

It is an arithmetic number, because the mean of its divisors is an integer number (18240950).

Almost surely, 21131232032 is an apocalyptic number.

1131232032 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 1131232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970022600).

1131232032 is an abundant number, since it is smaller than the sum of its proper divisors (2808813168).

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

1131232032 is a wasteful number, since it uses less digits than its factorization.

1131232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4250 counting only the distinct ones).

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

The square root of 1131232032 is about 33633.7930064392. The cubic root of 1131232032 is about 1041.9588427150.

Adding to 1131232032 its reverse (2302321311), we get a palindrome (3433553343).

The spelling of 1131232032 in words is "one billion, one hundred thirty-one million, two hundred thirty-two thousand, thirty-two".