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21216034255221 = 32131733521318209
BaseRepresentation
bin1001101001011101111100…
…01011110111000101110101
32210010020021220110011202200
410310232332023313011311
510240100414232131341
6113042302300255113
74316544051445461
oct464567613670565
983106256404680
1021216034255221
11683a740266423
122467986b41499
13bab881789710
14534c0c0b34a1
1526bd27581db6
hex134bbe2f7175

21216034255221 has 48 divisors (see below), whose sum is σ = 34945208691120. Its totient is φ = 12287614648320.

The previous prime is 21216034255147. The next prime is 21216034255223. The reversal of 21216034255221 is 12255243061212.

21216034255221 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 6 + 0 + 3 + 425 + 5 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3946698756900 + 17269335498321 = 1986630^2 + 4155639^2 .

It is not a de Polignac number, because 21216034255221 - 211 = 21216034253173 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21216034255223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66514165 + ... + 66832373.

It is an arithmetic number, because the mean of its divisors is an integer number (728025181065).

Almost surely, 221216034255221 is an apocalyptic number.

It is an amenable number.

21216034255221 is a deficient number, since it is larger than the sum of its proper divisors (13729174435899).

21216034255221 is a wasteful number, since it uses less digits than its factorization.

21216034255221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351766 (or 351763 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21216034255221 in words is "twenty-one trillion, two hundred sixteen billion, thirty-four million, two hundred fifty-five thousand, two hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 33521 100563 301689 318209 435773 569857 954627 1307319 1709571 2863881 3921957 4136717 5128713 5409553 7408141 12410151 16228659 22224423 37230453 48685977 66673269 70324189 210972567 632917701 10666683889 32000051667 96000155001 138666890557 181333626113 416000671671 544000878339 1248002015013 1632002635017 2357337139469 7072011418407 21216034255221