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132072100600 = 2352114312710993
BaseRepresentation
bin111101100000000011…
…1000101001011111000
3110121220022221212021111
41323000013011023320
54130440424204400
6140401215250104
712353604221656
oct1730007051370
9417808855244
10132072100600
1151014291a70
122171a819934
13c5ba27486b
14656c771dd6
15367ec193ba
hex1ec01c52f8

132072100600 has 192 divisors, whose sum is σ = 345503600640. Its totient is φ = 46535731200.

The previous prime is 132072100597. The next prime is 132072100607. The reversal of 132072100600 is 6001270231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132072100607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12008704 + ... + 12019696.

It is an arithmetic number, because the mean of its divisors is an integer number (1799497920).

Almost surely, 2132072100600 is an apocalyptic number.

132072100600 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 132072100600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172751800320).

132072100600 is an abundant number, since it is smaller than the sum of its proper divisors (213431500040).

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

132072100600 is a wasteful number, since it uses less digits than its factorization.

132072100600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 132072100600 its reverse (6001270231), we get a palindrome (138073370831).

The spelling of 132072100600 in words is "one hundred thirty-two billion, seventy-two million, one hundred thousand, six hundred".