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1132131331200 = 27352165771171
BaseRepresentation
bin10000011110011000010…
…010010010110010000000
311000020020011211111212110
4100132120102102302000
5122022101110044300
62224032143255320
7144536161351662
oct20363022226200
94006204744773
101132131331200
113a7152692771
121634b85aa540
13829b48ab09c
143cb1c9d6532
151e6b1780550
hex10798492c80

1132131331200 has 192 divisors, whose sum is σ = 3731260425120. Its totient is φ = 301715251200.

The previous prime is 1132131331183. The next prime is 1132131331217. The reversal of 1132131331200 is 21331312311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1132131331183) and next prime (1132131331217).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15871615 + ... + 15942785.

Almost surely, 21132131331200 is an apocalyptic number.

1132131331200 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 1132131331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865630212560).

1132131331200 is an abundant number, since it is smaller than the sum of its proper divisors (2599129093920).

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

1132131331200 is a wasteful number, since it uses less digits than its factorization.

1132131331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72855 (or 72838 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1132131331200 its reverse (21331312311), we get a palindrome (1153462643511).

The spelling of 1132131331200 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred".