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1132011000 = 233253731723
BaseRepresentation
bin100001101111001…
…0001110111111000
32220220002010011100
41003132101313320
54304243323000
6304154531400
740023635421
oct10336216770
92826063140
101132011000
11530a9968a
12277136b60
131506ab0c3
14aa4b2648
15695aaa00
hex43791df8

1132011000 has 192 divisors, whose sum is σ = 3880861920. Its totient is φ = 297561600.

The previous prime is 1132010989. The next prime is 1132011017. The reversal of 1132011000 is 1102311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 656139 + ... + 657861.

Almost surely, 21132011000 is an apocalyptic number.

1132011000 is a gapful number since it is divisible by the number (10) 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 1132011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940430960).

1132011000 is an abundant number, since it is smaller than the sum of its proper divisors (2748850920).

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

1132011000 is a wasteful number, since it uses less digits than its factorization.

1132011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1132011000 is about 33645.3711526563. The cubic root of 1132011000 is about 1042.1979526242.

Adding to 1132011000 its reverse (1102311), we get a palindrome (1133113311).

The spelling of 1132011000 in words is "one billion, one hundred thirty-two million, eleven thousand".