Search a number
-
+
21422325343221 = 32112371015263997
BaseRepresentation
bin1001101111011110001100…
…00101111010001111110101
32210211221202200112020121100
410313233012011322033311
510301440410241440341
6113321140322240313
74340466122662065
oct467570605721765
983757680466540
1021422325343221
11690a1801a5100
12249b9594b6099
13bc5169271b6a
14540bbb8d73a5
1527239ce8c3b6
hex137bc617a3f5

21422325343221 has 72 divisors (see below), whose sum is σ = 35277230052792. Its totient is φ = 12507254496000.

The previous prime is 21422325343213. The next prime is 21422325343229. The reversal of 21422325343221 is 12234352322412.

21422325343221 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 2 + 325 + 3 + 4 + 322 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21422325343213) and next prime (21422325343229).

It can be written as a sum of positive squares in 4 ways, for example, as 11162187452196 + 10260137891025 = 3340986^2 + 3203145^2 .

It is not a de Polignac number, because 21422325343221 - 23 = 21422325343213 is a prime.

It is a super-3 number, since 3×214223253432213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21422325343229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1437595 + ... + 6701591.

It is an arithmetic number, because the mean of its divisors is an integer number (489961528511).

Almost surely, 221422325343221 is an apocalyptic number.

It is an amenable number.

21422325343221 is a deficient number, since it is larger than the sum of its proper divisors (13854904709571).

21422325343221 is a wasteful number, since it uses less digits than its factorization.

21422325343221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264163 (or 5264149 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 21422325343221 its reverse (12234352322412), we get a palindrome (33656677665633).

The spelling of 21422325343221 in words is "twenty-one trillion, four hundred twenty-two billion, three hundred twenty-five million, three hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 101 111 121 303 333 363 407 909 1089 1111 1221 3333 3663 3737 4477 9999 11211 12221 13431 33633 36663 40293 41107 109989 123321 369963 452177 1356531 4069593 5263997 15791991 47375973 57903967 173711901 194767889 521135703 531663697 584303667 636943637 1594991091 1752911001 1910830911 2142446779 4784973273 5732492733 5848300667 6427340337 17544902001 19282021011 19671556789 23566914569 52634706003 59014670367 64331307337 70700743707 177044011101 192993922011 212102231121 216387124679 578981766033 649161374037 1947484122111 2380258371469 7140775114407 21422325343221