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132013240000 = 26543300331
BaseRepresentation
bin111101011110010011…
…0100010111011000000
3110121202020012102201021
41322330212202323000
54130330342140000
6140351313515224
712352261011505
oct1727446427300
9417666172637
10132013240000
1150a9403a144
1221702b72b14
13c5ab0063c5
146564a0d4ac
15367998e11a
hex1ebc9a2ec0

132013240000 has 70 divisors (see below), whose sum is σ = 327350030084. Its totient is φ = 52805280000.

The previous prime is 132013239983. The next prime is 132013240013. The reversal of 132013240000 is 42310231.

It is a happy number.

132013240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1610166 + ... + 1690165.

Almost surely, 2132013240000 is an apocalyptic number.

132013240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013240000 is an abundant number, since it is smaller than the sum of its proper divisors (195336790084).

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

132013240000 is an frugal number, since it uses more digits than its factorization.

132013240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300363 (or 3300338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132013240000 its reverse (42310231), we get a palindrome (132055550231).

The spelling of 132013240000 in words is "one hundred thirty-two billion, thirteen million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 3300331 6600662 13201324 16501655 26402648 33003310 52805296 66006620 82508275 105610592 132013240 165016550 211221184 264026480 330033100 412541375 528052960 660066200 825082750 1056105920 1320132400 1650165500 2062706875 2640264800 3300331000 4125413750 5280529600 6600662000 8250827500 13201324000 16501655000 26402648000 33003310000 66006620000 132013240000