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117935301312 = 263229371731103
BaseRepresentation
bin110110111010101111…
…1011110001011000000
3102021102010002001100200
41231311133132023000
53413012414120222
6130102334445200
711343355343463
oct1556537361300
9367363061320
10117935301312
114601a448474
121aa34363800
13b17650947a
1459cb0492da
153103ab2eac
hex1b757de2c0

117935301312 has 336 divisors, whose sum is σ = 361551565440. Its totient is φ = 36683587584.

The previous prime is 117935301301. The next prime is 117935301313. The reversal of 117935301312 is 213103539711.

It is a happy number.

117935301312 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 35 + 301 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117935301313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106921753 + ... + 106922855.

Almost surely, 2117935301312 is an apocalyptic number.

117935301312 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 117935301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180775782720).

117935301312 is an abundant number, since it is smaller than the sum of its proper divisors (243616264128).

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

117935301312 is a wasteful number, since it uses less digits than its factorization.

117935301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 117935301312 in words is "one hundred seventeen billion, nine hundred thirty-five million, three hundred one thousand, three hundred twelve".