| Base | Representation |
|---|---|
| bin | 110110100011110010… |
| … | …1011101101000000000 |
| 3 | 102012102102211210012220 |
| 4 | 1231013211131220000 |
| 5 | 3404423232320000 |
| 6 | 125454103051040 |
| 7 | 11315314042065 |
| oct | 1550745355000 |
| 9 | 365372753186 |
| 10 | 117165120000 |
| 11 | 45764723895 |
| 12 | 1a85a440a80 |
| 13 | b082a96b96 |
| 14 | 5956a42c6c |
| 15 | 30ab17b1a0 |
| hex | 1b4795da00 |
117165120000 has 600 divisors, whose sum is σ = 406205572608. Its totient is φ = 29998080000.
The previous prime is 117165119989. The next prime is 117165120001. The reversal of 117165120000 is 21561711.
It is a tau number, because it is divible by the number of its divisors (600).
It is a super-2 number, since 2×1171651200002 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (117165120001) 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 59 ways as a sum of consecutive naturals, for example, 922559937 + ... + 922560063.
Almost surely, 2117165120000 is an apocalyptic number.
117165120000 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 117165120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203102786304).
117165120000 is an abundant number, since it is smaller than the sum of its proper divisors (289040452608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117165120000 is an frugal number, since it uses more digits than its factorization.
117165120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 420, while the sum is 24.
Adding to 117165120000 its reverse (21561711), we get a palindrome (117186681711).
The spelling of 117165120000 in words is "one hundred seventeen billion, one hundred sixty-five million, one hundred twenty thousand".
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