Base | Representation |
---|---|
bin | 1010000110101101110111… |
… | …00010001000101010110100 |
3 | 2220200022022112120211021200 |
4 | 11003112323202020222310 |
5 | 10403032113100010004 |
6 | 115132105251412500 |
7 | 4452262252326621 |
oct | 503267342105264 |
9 | 86608275524250 |
10 | 22221012110004 |
11 | 7097973043294 |
12 | 25aa6b7bb4130 |
13 | c5258112c156 |
14 | 56b707695348 |
15 | 288045d28239 |
hex | 1435bb888ab4 |
22221012110004 has 36 divisors (see below), whose sum is σ = 59473885354884. Its totient is φ = 6971297916672.
The previous prime is 22221012109999. The next prime is 22221012110009. The reversal of 22221012110004 is 40001121012222.
It is an interprime number because it is at equal distance from previous prime (22221012109999) and next prime (22221012110009).
It can be written as a sum of positive squares in 2 ways, for example, as 18123836984100 + 4097175125904 = 4257210^2 + 2024148^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 (22221012110009) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18154421047 + ... + 18154422270.
It is an arithmetic number, because the mean of its divisors is an integer number (1652052370969).
Almost surely, 222221012110004 is an apocalyptic number.
It is an amenable number.
22221012110004 is an abundant number, since it is smaller than the sum of its proper divisors (37252873244880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22221012110004 is a wasteful number, since it uses less digits than its factorization.
22221012110004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36308843344 (or 36308843339 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22221012110004 its reverse (40001121012222), we get a palindrome (62222133122226).
The spelling of 22221012110004 in words is "twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred ten thousand, four".
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