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1131330334200 = 23352111923392251
BaseRepresentation
bin10000011101101000100…
…010101110110111111000
311000011011100121122112220
4100131220202232313320
5122013431031143300
62223420451204040
7144510264113523
oct20355042566770
94004140548486
101131330334200
113a6881530880
121633142a6620
13828b7969471
143ca8448bbba
151e6662acda0
hex107688aedf8

1131330334200 has 384 divisors, whose sum is σ = 4202431027200. Its totient is φ = 248529600000.

The previous prime is 1131330334193. The next prime is 1131330334201. The reversal of 1131330334200 is 24330331311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131330334201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2688075 + ... + 3080325.

It is an arithmetic number, because the mean of its divisors is an integer number (10943830800).

Almost surely, 21131330334200 is an apocalyptic number.

1131330334200 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 1131330334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101215513600).

1131330334200 is an abundant number, since it is smaller than the sum of its proper divisors (3071100693000).

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

1131330334200 is a wasteful number, since it uses less digits than its factorization.

1131330334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392323 (or 392314 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1131330334200 its reverse (24330331311), we get a palindrome (1155660665511).

The spelling of 1131330334200 in words is "one trillion, one hundred thirty-one billion, three hundred thirty million, three hundred thirty-four thousand, two hundred".