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110132012002000 = 245355066006001
BaseRepresentation
bin11001000010101000011011…
…011101000010101011010000
3112102221111222021102022121111
4121002220123131002223100
5103413400330033031000
61030121540423103104
732124526632154132
oct3102503335025320
9472844867368544
10110132012002000
11321007a670419a
12104283a3ba1a94
13495b533c63201
141d2a5bc70b052
15caebbe009cba
hex642a1b742ad0

110132012002000 has 40 divisors (see below), whose sum is σ = 266299205025672. Its totient is φ = 44052804800000.

The previous prime is 110132012001923. The next prime is 110132012002037. The reversal of 110132012002000 is 200210231011.

It can be written as a sum of positive squares in 4 ways, for example, as 511865840704 + 109620146161296 = 715448^2 + 10469964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27533001001 + ... + 27533005000.

Almost surely, 2110132012002000 is an apocalyptic number.

110132012002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110132012002000 is an abundant number, since it is smaller than the sum of its proper divisors (156167193023672).

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

110132012002000 is an equidigital number, since it uses as much as digits as its factorization.

110132012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55066006024 (or 55066006008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 110132012002000 its reverse (200210231011), we get a palindrome (110332222233011).

The spelling of 110132012002000 in words is "one hundred ten trillion, one hundred thirty-two billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 55066006001 110132012002 220264024004 275330030005 440528048008 550660060010 881056096016 1101320120020 1376650150025 2202640240040 2753300300050 4405280480080 5506600600100 6883250750125 11013201200200 13766501500250 22026402400400 27533003000500 55066006001000 110132012002000