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132211110000 = 2435418892333
BaseRepresentation
bin111101100100001100…
…1010111000001110000
3110122021000112021022210
41323020121113001300
54131232021010000
6140423102532120
712360212615124
oct1731031270160
9418230467283
10132211110000
11510857a7872
1221759297040
13c60ccc6048
146582dd9584
15368c027350
hex1ec8657070

132211110000 has 200 divisors, whose sum is σ = 427204063440. Its totient is φ = 35222528000.

The previous prime is 132211109977. The next prime is 132211110007. The reversal of 132211110000 is 11112231.

132211110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56668834 + ... + 56671166.

Almost surely, 2132211110000 is an apocalyptic number.

132211110000 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 132211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213602031720).

132211110000 is an abundant number, since it is smaller than the sum of its proper divisors (294992953440).

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

132211110000 is a wasteful number, since it uses less digits than its factorization.

132211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 132211110000 its reverse (11112231), we get a palindrome (132222222231).

The spelling of 132211110000 in words is "one hundred thirty-two billion, two hundred eleven million, one hundred ten thousand".