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132132330330000 = 24354721121357143
BaseRepresentation
bin11110000010110001110100…
…100111001101011110010000
3122022211201122021201102011020
4132002301310213031132100
5114304324003031030000
61145004430553115440
736555150215360100
oct3602616447153620
9568751567642136
10132132330330000
1139113008874600
12129a016a0b8b80
135896043725470
14248b34b7dd200
1510420e9c9cba0
hex782c749cd790

132132330330000 has 1800 divisors, whose sum is σ = 587351237989824. Its totient is φ = 25343619840000.

The previous prime is 132132330329999. The next prime is 132132330330023. The reversal of 132132330330000 is 33033231231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 359 ways as a sum of consecutive naturals, for example, 2312281429 + ... + 2312338571.

Almost surely, 2132132330330000 is an apocalyptic number.

132132330330000 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 132132330330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293675618994912).

132132330330000 is an abundant number, since it is smaller than the sum of its proper divisors (455218907659824).

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

132132330330000 is a wasteful number, since it uses less digits than its factorization.

132132330330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57223 (or 57184 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 132132330330000 its reverse (33033231231), we get a palindrome (132165363561231).

It can be divided in two parts, 132132 and 330330000, that multiplied together give a square (43647163560000 = 66066002).

The spelling of 132132330330000 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, three hundred thirty million, three hundred thirty thousand".