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132131275500 = 22353727414591
BaseRepresentation
bin111101100001110100…
…0110100001011101100
3110122001110022020222110
41323003220310023230
54131101101304000
6140411131444020
712355223211360
oct1730350641354
9418043266873
10132131275500
1151044729a44
12217365b6610
13c5c95c30b3
1465765772a0
153685007850
hex1ec3a342ec

132131275500 has 192 divisors, whose sum is σ = 439989129216. Its totient is φ = 30183840000.

The previous prime is 132131275457. The next prime is 132131275513. The reversal of 132131275500 is 5572131231.

132131275500 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 (30).

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 63 ways as a sum of consecutive naturals, for example, 28778205 + ... + 28782795.

It is an arithmetic number, because the mean of its divisors is an integer number (2291610048).

Almost surely, 2132131275500 is an apocalyptic number.

132131275500 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 132131275500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219994564608).

132131275500 is an abundant number, since it is smaller than the sum of its proper divisors (307857853716).

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

132131275500 is a wasteful number, since it uses less digits than its factorization.

132131275500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 132131275500 in words is "one hundred thirty-two billion, one hundred thirty-one million, two hundred seventy-five thousand, five hundred".