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1132200000000 = 2932581737
BaseRepresentation
bin10000011110011100011…
…000001111101000000000
311000020101222001020202100
4100132130120033220000
5122022221200000000
62224043035150400
7144540654132366
oct20363430175000
94006358036670
101132200000000
113a7188424643
121635175a5400
13829c5ba1a04
143cb27b8d636
151e6b77e6a00
hex1079c60fa00

1132200000000 has 1080 divisors, whose sum is σ = 4441655928996. Its totient is φ = 276480000000.

The previous prime is 1132199999989. The next prime is 1132200000007. The reversal of 1132200000000 is 22311.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1090838202624 + 41361797376 = 1044432^2 + 203376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1132200000007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30599999982 + ... + 30600000018.

Almost surely, 21132200000000 is an apocalyptic number.

1132200000000 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 1132200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220827964498).

1132200000000 is an abundant number, since it is smaller than the sum of its proper divisors (3309455928996).

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

1132200000000 is an frugal number, since it uses more digits than its factorization.

1132200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1132200000000 its reverse (22311), we get a palindrome (1132200022311).

The spelling of 1132200000000 in words is "one trillion, one hundred thirty-two billion, two hundred million", and thus it is an aban number.