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132115704120 = 2332510929311491
BaseRepresentation
bin111101100001010110…
…1011010100100111000
3110122000101000011001200
41323002231122210320
54131033110012440
6140405414014200
712354643645641
oct1730255324470
9418011004050
10132115704120
1151036963a34
1221731347360
13c5c630066a
1465744826c8
15368397dc30
hex1ec2b5a938

132115704120 has 192 divisors, whose sum is σ = 434831997600. Its totient is φ = 34785469440.

The previous prime is 132115704107. The next prime is 132115704121. The reversal of 132115704120 is 21407511231.

132115704120 is a `hidden beast` number, since 1 + 32 + 1 + 1 + 570 + 41 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132115704121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11491575 + ... + 11503065.

Almost surely, 2132115704120 is an apocalyptic number.

132115704120 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 132115704120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217415998800).

132115704120 is an abundant number, since it is smaller than the sum of its proper divisors (302716293480).

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

132115704120 is a wasteful number, since it uses less digits than its factorization.

132115704120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910 (or 11903 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 132115704120 in words is "one hundred thirty-two billion, one hundred fifteen million, seven hundred four thousand, one hundred twenty".