Search a number
-
+
1132111120 = 24572021627
BaseRepresentation
bin100001101111010…
…1010010100010000
32220220021012111111
41003132222110100
54304310023440
6304201023104
740024533340
oct10336522420
92826235444
101132111120
11531057928
12277184a94
1315071484a
14aa4dad20
15695ca4ea
hex437aa510

1132111120 has 40 divisors (see below), whose sum is σ = 3008182464. Its totient is φ = 388152192.

The previous prime is 1132111091. The next prime is 1132111151. The reversal of 1132111120 is 211112311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1132111120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010254 + ... + 1011373.

Almost surely, 21132111120 is an apocalyptic number.

1132111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132111120 is an abundant number, since it is smaller than the sum of its proper divisors (1876071344).

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

1132111120 is a wasteful number, since it uses less digits than its factorization.

1132111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021647 (or 2021641 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1132111120 is about 33646.8589915909. The cubic root of 1132111120 is about 1042.2286772323.

Adding to 1132111120 its reverse (211112311), we get a palindrome (1343223431).

The spelling of 1132111120 in words is "one billion, one hundred thirty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2021627 4043254 8086508 10108135 14151389 16173016 20216270 28302778 32346032 40432540 56605556 70756945 80865080 113211112 141513890 161730160 226422224 283027780 566055560 1132111120