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132302001120 = 25353767311069
BaseRepresentation
bin111101100110111010…
…0000101001111100000
3110122111100120000111120
41323031310011033200
54131423303013440
6140440111012240
712362365311612
oct1731564051740
9418440500446
10132302001120
11511220376a3
122178380a080
13c625a9a783
1465910d8db2
153694eccdd0
hex1ecdd053e0

132302001120 has 192 divisors, whose sum is σ = 428689558080. Its totient is φ = 34272903168.

The previous prime is 132302001107. The next prime is 132302001131. The reversal of 132302001120 is 21100203231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132302001120.

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 31 ways as a sum of consecutive naturals, for example, 11946946 + ... + 11958014.

It is an arithmetic number, because the mean of its divisors is an integer number (2232758115).

Almost surely, 2132302001120 is an apocalyptic number.

132302001120 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 132302001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214344779040).

132302001120 is an abundant number, since it is smaller than the sum of its proper divisors (296387556960).

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

132302001120 is a wasteful number, since it uses less digits than its factorization.

132302001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132302001120 its reverse (21100203231), we get a palindrome (153402204351).

The spelling of 132302001120 in words is "one hundred thirty-two billion, three hundred two million, one thousand, one hundred twenty".