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132210010000 = 2454101223587
BaseRepresentation
bin111101100100001010…
…1001010011110010000
3110122020221110101102001
41323020111022132100
54131231230310000
6140423023203344
712360200354125
oct1731025123620
9418227411361
10132210010000
1151085116382
1221758a46554
13c60c9cc463
146582bd074c
15368bdab46a
hex1ec854a790

132210010000 has 200 divisors, whose sum is σ = 325265681664. Its totient is φ = 52036800000.

The previous prime is 132210009991. The next prime is 132210010019. The reversal of 132210010000 is 10012231.

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 (10).

It is an unprimeable number.

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, 225229707 + ... + 225230293.

Almost surely, 2132210010000 is an apocalyptic number.

132210010000 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 132210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162632840832).

132210010000 is an abundant number, since it is smaller than the sum of its proper divisors (193055671664).

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

132210010000 is a wasteful number, since it uses less digits than its factorization.

132210010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 132210010000 its reverse (10012231), we get a palindrome (132220022231).

The spelling of 132210010000 in words is "one hundred thirty-two billion, two hundred ten million, ten thousand".