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132100336704 = 26373116071973
BaseRepresentation
bin111101100000111001…
…0110010110001000000
3110121222022002101221010
41323001302302301000
54131020141233304
6140404104400520
712354366222660
oct1730162626100
9417868071833
10132100336704
1151029218196
1221728176140
13c5c307ca0b
1465724021a0
153682445789
hex1ec1cb2c40

132100336704 has 224 divisors, whose sum is σ = 412797321216. Its totient is φ = 36484208640.

The previous prime is 132100336651. The next prime is 132100336721. The reversal of 132100336704 is 407633001231.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66953062 + ... + 66955034.

It is an arithmetic number, because the mean of its divisors is an integer number (1842845184).

Almost surely, 2132100336704 is an apocalyptic number.

132100336704 is a gapful number since it is divisible by the number (14) 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 132100336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206398660608).

132100336704 is an abundant number, since it is smaller than the sum of its proper divisors (280696984512).

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

132100336704 is a wasteful number, since it uses less digits than its factorization.

132100336704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 132100336704 its reverse (407633001231), we get a palindrome (539733337935).

The spelling of 132100336704 in words is "one hundred thirty-two billion, one hundred million, three hundred thirty-six thousand, seven hundred four".