Base | Representation |
---|---|
bin | 1010001101000101110010… |
… | …1101011101111010000010 |
3 | 1110201121210210021200111000 |
4 | 2203101130231131322002 |
5 | 2432312040030000002 |
6 | 35510222413232430 |
7 | 2235422210263626 |
oct | 243213455357202 |
9 | 43647723250430 |
10 | 11220010000002 |
11 | 363641a15a2a1 |
12 | 131261a792716 |
13 | 63507220c6cb |
14 | 2ab0a0dc3186 |
15 | 146cd16c261c |
hex | a345cb5de82 |
11220010000002 has 64 divisors (see below), whose sum is σ = 25280655321600. Its totient is φ = 3688027200000.
The previous prime is 11220009999977. The next prime is 11220010000019. The reversal of 11220010000002 is 20000001002211.
11220010000002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750002 + ... + 5050002.
It is an arithmetic number, because the mean of its divisors is an integer number (395010239400).
Almost surely, 211220010000002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11220010000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640327660800).
11220010000002 is an abundant number, since it is smaller than the sum of its proper divisors (14060645321598).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11220010000002 is a wasteful number, since it uses less digits than its factorization.
11220010000002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3300888 (or 3300882 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 11220010000002 its reverse (20000001002211), we get a palindrome (31220011002213).
The spelling of 11220010000002 in words is "eleven trillion, two hundred twenty billion, ten million, two", and thus it is an aban number.
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