Base | Representation |
---|---|
bin | 100000001011010001001… |
… | …001001000011011010110 |
3 | 21211101021220011210120000 |
4 | 200023101021020123112 |
5 | 242211334214201402 |
6 | 4411435254352130 |
7 | 315514444040340 |
oct | 40132111103326 |
9 | 7741256153500 |
10 | 2211122022102 |
11 | 782805812894 |
12 | 2b864435b646 |
13 | 13067ab622c6 |
14 | 79039b26290 |
15 | 3c7b2a95c1c |
hex | 202d12486d6 |
2211122022102 has 120 divisors (see below), whose sum is σ = 5850895512528. Its totient is φ = 611369843040.
The previous prime is 2211122022089. The next prime is 2211122022107. The reversal of 2211122022102 is 2012202211122.
It is a happy number.
2211122022102 is a `hidden beast` number, since 221 + 1 + 1 + 220 + 221 + 0 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2211122022107) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 75288 + ... + 2104260.
Almost surely, 22211122022102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2211122022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925447756264).
2211122022102 is an abundant number, since it is smaller than the sum of its proper divisors (3639773490426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2211122022102 is a wasteful number, since it uses less digits than its factorization.
2211122022102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2029056 (or 2029016 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2211122022102 its reverse (2012202211122), we get a palindrome (4223324233224).
The spelling of 2211122022102 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred two".
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