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22241001001 = 2913742113297
BaseRepresentation
bin10100101101101010…
…101011111000101001
32010102000100220200211
4110231222223320221
5331022144013001
614114541501121
71415103250342
oct245552537051
963360326624
1022241001001
11948351326a
1243885717a1
132135a6362b
14110db970c9
158a2886351
hex52daabe29

22241001001 has 16 divisors (see below), whose sum is σ = 23232669840. Its totient is φ = 21265090560.

The previous prime is 22241000993. The next prime is 22241001011. The reversal of 22241001001 is 10010014222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8450021776 + 13790979225 = 91924^2 + 117435^2 .

It is a cyclic number.

It is not a de Polignac number, because 22241001001 - 23 = 22241000993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22241001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665985 + ... + 1679281.

It is an arithmetic number, because the mean of its divisors is an integer number (1452041865).

Almost surely, 222241001001 is an apocalyptic number.

It is an amenable number.

22241001001 is a deficient number, since it is larger than the sum of its proper divisors (991668839).

22241001001 is a wasteful number, since it uses less digits than its factorization.

22241001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13884.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22241001001 its reverse (10010014222), we get a palindrome (32251015223).

The spelling of 22241001001 in words is "twenty-two billion, two hundred forty-one million, one thousand, one".

Divisors: 1 29 137 421 3973 12209 13297 57677 385613 1672633 1821689 5598037 52828981 162343073 766931069 22241001001