Search a number
-
+
22201200112221 = 3313653409123677
BaseRepresentation
bin1010000110001000111101…
…01001010111001001011101
32220121102011210211001121000
411003010132221113021131
510402221024212042341
6115115031315500513
74450661302200264
oct503043651271135
986542153731530
1022201200112221
11708a5267520a9
1225a68a8bb7739
13c5074469a840
1456a78834b5db
152877868468b6
hex14311ea5725d

22201200112221 has 64 divisors (see below), whose sum is σ = 35485131306240. Its totient is φ = 13637444186880.

The previous prime is 22201200112207. The next prime is 22201200112237. The reversal of 22201200112221 is 12221100210222.

It is a happy number.

It is not a de Polignac number, because 22201200112221 - 222 = 22201195917917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22201200112194 and 22201200112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201200112241) 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, 937657635 + ... + 937681311.

It is an arithmetic number, because the mean of its divisors is an integer number (554455176660).

Almost surely, 222201200112221 is an apocalyptic number.

It is an amenable number.

22201200112221 is a deficient number, since it is larger than the sum of its proper divisors (13283931194019).

22201200112221 is a wasteful number, since it uses less digits than its factorization.

22201200112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28443 (or 28437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22201200112221 its reverse (12221100210222), we get a palindrome (34422300322443).

The spelling of 22201200112221 in words is "twenty-two trillion, two hundred one billion, two hundred million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 653 1959 4091 5877 8489 12273 17631 23677 25467 36819 53183 71031 76401 110457 159549 213093 229203 307801 478647 639279 923403 1435941 2671423 2770209 8014269 8310627 15461081 24042807 34728499 46383243 72128421 96862607 104185497 139149729 200994053 290587821 312556491 417449187 602982159 871763463 937669473 1259213891 1808946477 2615290389 3777641673 5426839431 11332925019 33998775057 63251282371 189753847113 569261541339 822266670823 1707784624017 2466800012469 7400400037407 22201200112221