Search a number
-
+
22001001100221 = 31113233117169633
BaseRepresentation
bin1010000000010100000011…
…10110101111001110111101
32212220021102121001111221210
411000022001312233032331
510340431022240201341
6114443042000115033
74430343213522333
oct500120166571675
985807377044853
1022001001100221
117012632613280
122573b36905a79
13c378bb07bcb0
14560bd5a63b53
1528246abb0c16
hex140281daf3bd

22001001100221 has 64 divisors (see below), whose sum is σ = 36077139431424. Its totient is φ = 11735253657600.

The previous prime is 22001001100207. The next prime is 22001001100223. The reversal of 22001001100221 is 12200110010022.

It is not a de Polignac number, because 22001001100221 - 223 = 22000992711613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22001001100197 and 22001001100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001001100223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516180 + ... + 6653453.

It is an arithmetic number, because the mean of its divisors is an integer number (563705303616).

Almost surely, 222001001100221 is an apocalyptic number.

It is an amenable number.

22001001100221 is a deficient number, since it is larger than the sum of its proper divisors (14076138331203).

22001001100221 is a wasteful number, since it uses less digits than its factorization.

22001001100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169994.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22001001100221 its reverse (12200110010022), we get a palindrome (34201111110243).

The spelling of 22001001100221 in words is "twenty-two trillion, one billion, one million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 311 429 759 897 933 3289 3421 4043 7153 9867 10263 12129 21459 44473 78683 92989 133419 236049 278967 1022879 3068637 7169633 21508899 78865963 93205229 164901559 236597889 279615687 494704677 1025257519 1813917149 2143720267 2229755863 3075772557 5441751447 6431160801 6689267589 23580922937 24527314493 28986826219 51284384849 70742768811 73581943479 86960478657 153853154547 318855088409 564128233339 666697003037 956565265227 1692384700017 2000091009111 7333667033407 22001001100221