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1131101200 = 24522827753
BaseRepresentation
bin100001101101011…
…0011110000010000
32220211100220011001
41003122303300100
54304030214300
6304123231344
740013126065
oct10332636020
92824326131
101131101200
11530528089
12276978554
1315044cc68
14aa316c6c
156947b16a
hex436b3c10

1131101200 has 30 divisors (see below), whose sum is σ = 2717471594. Its totient is φ = 452440320.

The previous prime is 1131101177. The next prime is 1131101203. The reversal of 1131101200 is 21011311.

It can be written as a sum of positive squares in 3 ways, for example, as 21678336 + 1109422864 = 4656^2 + 33308^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1131101203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1413477 + ... + 1414276.

Almost surely, 21131101200 is an apocalyptic number.

1131101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131101200 is an abundant number, since it is smaller than the sum of its proper divisors (1586370394).

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

1131101200 is a wasteful number, since it uses less digits than its factorization.

1131101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827771 (or 2827760 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1131101200 is about 33631.8480015595. The cubic root of 1131101200 is about 1041.9186721131.

Adding to 1131101200 its reverse (21011311), we get a palindrome (1152112511).

The spelling of 1131101200 in words is "one billion, one hundred thirty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2827753 5655506 11311012 14138765 22622024 28277530 45244048 56555060 70693825 113110120 141387650 226220240 282775300 565550600 1131101200