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132221213300 = 2252112103277383
BaseRepresentation
bin111101100100011111…
…1111001101001110100
3110122021201112120110002
41323020333321221310
54131242112311200
6140424103250432
712360364524611
oct1731077715164
9418251476402
10132221213300
1151090478600
1221760749a18
13c612122927
1465844a9508
15368cd70bd5
hex1ec8ff9a74

132221213300 has 216 divisors, whose sum is σ = 320420825088. Its totient is φ = 47317881600.

The previous prime is 132221213287. The next prime is 132221213317. The reversal of 132221213300 is 3312122231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 345224909 + ... + 345225291.

Almost surely, 2132221213300 is an apocalyptic number.

132221213300 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 132221213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160210412544).

132221213300 is an abundant number, since it is smaller than the sum of its proper divisors (188199611788).

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

132221213300 is a wasteful number, since it uses less digits than its factorization.

132221213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132221213300 its reverse (3312122231), we get a palindrome (135533335531).

The spelling of 132221213300 in words is "one hundred thirty-two billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred".