Base | Representation |
---|---|
bin | 11001001111010010110110… |
… | …101101010001101011000000 |
3 | 112120000201002011212212212001 |
4 | 121033102312231101223000 |
5 | 104022130001212320000 |
6 | 1032025412354313344 |
7 | 32244433666134610 |
oct | 3117226655215300 |
9 | 476021064785761 |
10 | 111002200120000 |
11 | 32406850167882 |
12 | 10548b78288854 |
13 | 49c2602311147 |
14 | 1d5a76c656a40 |
15 | cc764e1bb46a |
hex | 64f4b6b51ac0 |
111002200120000 has 280 divisors, whose sum is σ = 315472347159200. Its totient is φ = 37948815360000.
The previous prime is 111002200119983. The next prime is 111002200120001. The reversal of 111002200120000 is 21002200111.
111002200120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (280).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (111002200120001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97152040 + ... + 98287960.
It is an arithmetic number, because the mean of its divisors is an integer number (1126686954140).
Almost surely, 2111002200120000 is an apocalyptic number.
111002200120000 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 111002200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157736173579600).
111002200120000 is an abundant number, since it is smaller than the sum of its proper divisors (204470147039200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111002200120000 is an equidigital number, since it uses as much as digits as its factorization.
111002200120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1136309 (or 1136284 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 111002200120000 its reverse (21002200111), we get a palindrome (111023202320111).
The spelling of 111002200120000 in words is "one hundred eleven trillion, two billion, two hundred million, one hundred twenty thousand".
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