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1132081200000 = 273255314467
BaseRepresentation
bin10000011110010101010…
…011000011101110000000
311000020002200111120210100
4100132111103003232000
5122022000241400000
62224023153002400
7144535012266612
oct20362523035600
94006080446710
101132081200000
113a7127362423
121634a3853400
13829a73a805a
143cb160a6db2
151e6ac17ba00
hex107954c3b80

1132081200000 has 288 divisors, whose sum is σ = 4071854306520. Its totient is φ = 301887360000.

The previous prime is 1132081199999. The next prime is 1132081200001. The reversal of 1132081200000 is 21802311.

It is an interprime number because it is at equal distance from previous prime (1132081199999) and next prime (1132081200001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132081200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3442767 + ... + 3757233.

Almost surely, 21132081200000 is an apocalyptic number.

1132081200000 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 1132081200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035927153260).

1132081200000 is an abundant number, since it is smaller than the sum of its proper divisors (2939773106520).

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

1132081200000 is an frugal number, since it uses more digits than its factorization.

1132081200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314512 (or 314477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 1132081200000 in words is "one trillion, one hundred thirty-two billion, eighty-one million, two hundred thousand".