Base | Representation |
---|---|
bin | 11110100100111010100… |
… | …101110101000110110010 |
3 | 21102212121202220101100200 |
4 | 132210322211311012302 |
5 | 233411300313044442 |
6 | 4245142115500030 |
7 | 304544145222624 |
oct | 36447245650662 |
9 | 7385552811320 |
10 | 2101222003122 |
11 | 74013a050a20 |
12 | 29b292bb7616 |
13 | 1231b52a0388 |
14 | 739b1d2ac14 |
15 | 399ce64c34c |
hex | 1e93a9751b2 |
2101222003122 has 96 divisors (see below), whose sum is σ = 4989278548800. Its totient is φ = 633821880960.
The previous prime is 2101222003087. The next prime is 2101222003123. The reversal of 2101222003122 is 2213002221012.
2101222003122 is a `hidden beast` number, since 210 + 122 + 20 + 0 + 312 + 2 = 666.
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 = 2101222003095 and 2101222003104.
It is not an unprimeable number, because it can be changed into a prime (2101222003123) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50857629 + ... + 50898927.
It is an arithmetic number, because the mean of its divisors is an integer number (51971651550).
Almost surely, 22101222003122 is an apocalyptic number.
2101222003122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2101222003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494639274400).
2101222003122 is an abundant number, since it is smaller than the sum of its proper divisors (2888056545678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2101222003122 is a wasteful number, since it uses less digits than its factorization.
2101222003122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42488 (or 42485 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2101222003122 its reverse (2213002221012), we get a palindrome (4314224224134).
The spelling of 2101222003122 in words is "two trillion, one hundred one billion, two hundred twenty-two million, three thousand, one hundred twenty-two".
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