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132220213020000 = 253254719101149367
BaseRepresentation
bin11110000100000011101010…
…110101000100010101100000
3122100011010110222111121222200
4132010003222311010111200
5114312243444013120000
61145113043300133200
736564411065043150
oct3604035265042540
9570133428447880
10132220213020000
1139147306304316
12129b51b5997200
1358a140a9a8991
1424916c7426760
1510445402e3500
hex7840ead44560

132220213020000 has 2880 divisors, whose sum is σ = 576227748096000. Its totient is φ = 28080691200000.

The previous prime is 132220213019927. The next prime is 132220213020013. The reversal of 132220213020000 is 20312022231.

132220213020000 is a `hidden beast` number, since 1 + 32 + 220 + 213 + 0 + 200 + 0 + 0 = 666.

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

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 360273059817 + ... + 360273060183.

It is an arithmetic number, because the mean of its divisors is an integer number (200079079200).

Almost surely, 2132220213020000 is an apocalyptic number.

132220213020000 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 132220213020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288113874048000).

132220213020000 is an abundant number, since it is smaller than the sum of its proper divisors (444007535076000).

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

132220213020000 is a wasteful number, since it uses less digits than its factorization.

132220213020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132220213020000 its reverse (20312022231), we get a palindrome (132240525042231).

The spelling of 132220213020000 in words is "one hundred thirty-two trillion, two hundred twenty billion, two hundred thirteen million, twenty thousand".