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117232012800 = 293452729557
BaseRepresentation
bin110110100101110010…
…0101000111000000000
3102012121002201021220000
41231023210220320000
53410042343402200
6125504452520000
711320055444610
oct1551344507000
9365532637800
10117232012800
11457994623a1
121a878920000
13b0938b8316
145961896a40
1530b1e91300
hex1b4b928e00

117232012800 has 1200 divisors, whose sum is σ = 513887600160. Its totient is φ = 25825443840.

The previous prime is 117232012783. The next prime is 117232012817. The reversal of 117232012800 is 8210232711.

It is an interprime number because it is at equal distance from previous prime (117232012783) and next prime (117232012817).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210470122 + ... + 210470678.

Almost surely, 2117232012800 is an apocalyptic number.

117232012800 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 117232012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256943800080).

117232012800 is an abundant number, since it is smaller than the sum of its proper divisors (396655587360).

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

117232012800 is an equidigital number, since it uses as much as digits as its factorization.

117232012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 117232012800 in words is "one hundred seventeen billion, two hundred thirty-two million, twelve thousand, eight hundred".