Base | Representation |
---|---|
bin | 1001000111011000110101… |
… | …1110010000010101010010 |
3 | 1022111010220111120122020000 |
4 | 2101312031132100111102 |
5 | 2303202121222021432 |
6 | 33152142052430430 |
7 | 2053050456143433 |
oct | 221661536202522 |
9 | 38433814518200 |
10 | 10022532220242 |
11 | 3214594173643 |
12 | 115a525918416 |
13 | 579175334019 |
14 | 26914385148a |
15 | 125a9815157c |
hex | 91d8d790552 |
10022532220242 has 80 divisors (see below), whose sum is σ = 22887690376320. Its totient is φ = 3276941155488.
The previous prime is 10022532220237. The next prime is 10022532220243. The reversal of 10022532220242 is 24202223522001.
It is a happy number.
10022532220242 is a `hidden beast` number, since 100 + 2 + 2 + 532 + 2 + 2 + 0 + 24 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (10022532220243) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32671609 + ... + 32976947.
It is an arithmetic number, because the mean of its divisors is an integer number (286096129704).
Almost surely, 210022532220242 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10022532220242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443845188160).
10022532220242 is an abundant number, since it is smaller than the sum of its proper divisors (12865158156078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022532220242 is a wasteful number, since it uses less digits than its factorization.
10022532220242 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 309229 (or 309220 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
Adding to 10022532220242 its reverse (24202223522001), we get a palindrome (34224755742243).
The spelling of 10022532220242 in words is "ten trillion, twenty-two billion, five hundred thirty-two million, two hundred twenty thousand, two hundred forty-two".
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