Base | Representation |
---|---|
bin | 1011000000011000111011… |
… | …1100001101001010000000 |
3 | 1120211212121212110012212000 |
4 | 2300012032330031022000 |
5 | 3041232001140120112 |
6 | 41423134203104000 |
7 | 2356202005326246 |
oct | 260061674151200 |
9 | 46755555405760 |
10 | 12101321020032 |
11 | 39461612648a2 |
12 | 1435397b12000 |
13 | 69a1c3ab6a8a |
14 | 2db9c8272796 |
15 | 15ebb30ed7dc |
hex | b018ef0d280 |
12101321020032 has 64 divisors (see below), whose sum is σ = 35715704409600. Its totient is φ = 4033773672192.
The previous prime is 12101321020003. The next prime is 12101321020037. The reversal of 12101321020032 is 23002012310121.
12101321020032 is a `hidden beast` number, since 1 + 210 + 13 + 210 + 200 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12101321019987 and 12101321020014.
It is not an unprimeable number, because it can be changed into a prime (12101321020037) 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 7 ways as a sum of consecutive naturals, for example, 1750766368 + ... + 1750773279.
It is an arithmetic number, because the mean of its divisors is an integer number (558057881400).
Almost surely, 212101321020032 is an apocalyptic number.
12101321020032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12101321020032 is an abundant number, since it is smaller than the sum of its proper divisors (23614383389568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12101321020032 is an equidigital number, since it uses as much as digits as its factorization.
12101321020032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3501539670 (or 3501539652 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 12101321020032 its reverse (23002012310121), we get a palindrome (35103333330153).
The spelling of 12101321020032 in words is "twelve trillion, one hundred one billion, three hundred twenty-one million, twenty thousand, thirty-two".
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