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132232210000 = 24541119151419
BaseRepresentation
bin111101100100110100…
…1110110011001010000
3110122022111020021002021
41323021221312121100
54131302421210000
6140425135101224
712360560145142
oct1731151663120
9418274207067
10132232210000
11510966a9590
1221764371814
13c6144a3057
146585b2cc92
15368dce411a
hex1ec9a76650

132232210000 has 400 divisors, whose sum is σ = 370951257600. Its totient is φ = 45144000000.

The previous prime is 132232209979. The next prime is 132232210007. The reversal of 132232210000 is 12232231.

132232210000 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 (400).

It is a super-2 number, since 2×1322322100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232210007) by changing a digit.

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, 315589791 + ... + 315590209.

It is an arithmetic number, because the mean of its divisors is an integer number (927378144).

Almost surely, 2132232210000 is an apocalyptic number.

132232210000 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 132232210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185475628800).

132232210000 is an abundant number, since it is smaller than the sum of its proper divisors (238719047600).

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

132232210000 is a wasteful number, since it uses less digits than its factorization.

132232210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132232210000 its reverse (12232231), we get a palindrome (132244442231).

The spelling of 132232210000 in words is "one hundred thirty-two billion, two hundred thirty-two million, two hundred ten thousand".