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132221103300000 = 2534551113211541
BaseRepresentation
bin11110000100000100011111…
…111001001101110110100000
3122100011012210000201112120000
4132010010133321031312200
5114312302304421100000
61145113311502020000
736564442125226521
oct3604043771156640
9570135700645500
10132221103300000
11391477228a7910
12129b5403b77600
1358a152027b090
14249176d772848
151044593550000
hex78411fe4dda0

132221103300000 has 2880 divisors, whose sum is σ = 574781243895936. Its totient is φ = 29393280000000.

The previous prime is 132221103299927. The next prime is 132221103300019. The reversal of 132221103300000 is 3301122231.

132221103300000 is a `hidden beast` number, since 1 + 3 + 222 + 110 + 330 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 244401299730 + ... + 244401300270.

Almost surely, 2132221103300000 is an apocalyptic number.

132221103300000 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 132221103300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287390621947968).

132221103300000 is an abundant number, since it is smaller than the sum of its proper divisors (442560140595936).

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

132221103300000 is a wasteful number, since it uses less digits than its factorization.

132221103300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132221103300000 its reverse (3301122231), we get a palindrome (132224404422231).

The spelling of 132221103300000 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred three million, three hundred thousand".