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132322240512 = 21132721119701
BaseRepresentation
bin111101100111100000…
…1010010100000000000
3110122112202122021201200
41323033001102200000
54131443443144022
6140442112501200
712363032325600
oct1731701224000
9418482567650
10132322240512
1151132500870
122178a54a800
13c62a035b47
146593a86c00
153696b79bac
hex1ecf052800

132322240512 has 864 divisors, whose sum is σ = 511234869600. Its totient is φ = 32514048000.

The previous prime is 132322240511. The next prime is 132322240517. The reversal of 132322240512 is 215042223231.

132322240512 is a `hidden beast` number, since 1 + 3 + 23 + 222 + 405 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (132322240511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188761762 + ... + 188762462.

It is an arithmetic number, because the mean of its divisors is an integer number (591707025).

Almost surely, 2132322240512 is an apocalyptic number.

132322240512 is a gapful number since it is divisible by the number (12) 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 132322240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255617434800).

132322240512 is an abundant number, since it is smaller than the sum of its proper divisors (378912629088).

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

132322240512 is a wasteful number, since it uses less digits than its factorization.

132322240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 132322240512 its reverse (215042223231), we get a palindrome (347364463743).

The spelling of 132322240512 in words is "one hundred thirty-two billion, three hundred twenty-two million, two hundred forty thousand, five hundred twelve".