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1131400200 = 2335272291327
BaseRepresentation
bin100001101101111…
…1100110000001000
32220211221002022010
41003123330300020
54304114301300
6304133455520
740015512600
oct10333746010
92824832263
101131400200
11530711797
12276aa15a0
13150526098
14aa393c00
15694d9a50
hex436fcc08

1131400200 has 288 divisors, whose sum is σ = 4223836800. Its totient is φ = 249500160.

The previous prime is 1131400189. The next prime is 1131400213. The reversal of 1131400200 is 20041311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851937 + ... + 853263.

It is an arithmetic number, because the mean of its divisors is an integer number (14666100).

Almost surely, 21131400200 is an apocalyptic number.

1131400200 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 1131400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111918400).

1131400200 is an abundant number, since it is smaller than the sum of its proper divisors (3092436600).

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

1131400200 is a wasteful number, since it uses less digits than its factorization.

1131400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1131400200 is about 33636.2928991885. The cubic root of 1131400200 is about 1042.0104723977.

Adding to 1131400200 its reverse (20041311), we get a palindrome (1151441511).

The spelling of 1131400200 in words is "one billion, one hundred thirty-one million, four hundred thousand, two hundred".