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132210210000 = 24354112317419
BaseRepresentation
bin111101100100001010…
…1111011010011010000
3110122020221211112202110
41323020111323103100
54131231303210000
6140423031345320
712360202146201
oct1731025732320
9418227745673
10132210210000
1151085242670
1221758b22240
13c60ca6c4bb
146582c435a8
15368bdea850
hex1ec857b4d0

132210210000 has 400 divisors, whose sum is σ = 485862474240. Its totient is φ = 30655680000.

The previous prime is 132210209993. The next prime is 132210210019. The reversal of 132210210000 is 12012231.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 7581291 + ... + 7598709.

Almost surely, 2132210210000 is an apocalyptic number.

132210210000 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 132210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242931237120).

132210210000 is an abundant number, since it is smaller than the sum of its proper divisors (353652264240).

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

132210210000 is a wasteful number, since it uses less digits than its factorization.

132210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484 (or 17463 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132210210000 its reverse (12012231), we get a palindrome (132222222231).

The spelling of 132210210000 in words is "one hundred thirty-two billion, two hundred ten million, two hundred ten thousand".