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21302213213211 = 37177310119874073
BaseRepresentation
bin1001101011111110011101…
…10110011111110000011011
32210102110201212100211122120
410311333032312133300123
510243003413040310321
6113150033542352323
74326014462504040
oct465771666376033
983373655324576
1021302213213211
116873244014057
12248061812b6a3
13bb6a36a87a98
145390657231c7
1526e1bd237ec6
hex135fced9fc1b

21302213213211 has 128 divisors (see below), whose sum is σ = 35212088088576. Its totient is φ = 11179457740800.

The previous prime is 21302213213189. The next prime is 21302213213231. The reversal of 21302213213211 is 11231231220312.

It is not a de Polignac number, because 21302213213211 - 231 = 21300065729563 is a prime.

It is a super-2 number, since 2×213022132132112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21302213213231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5230101871 + ... + 5230105943.

It is an arithmetic number, because the mean of its divisors is an integer number (275094438192).

Almost surely, 221302213213211 is an apocalyptic number.

21302213213211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21302213213211 is a deficient number, since it is larger than the sum of its proper divisors (13909874875365).

21302213213211 is a wasteful number, since it uses less digits than its factorization.

21302213213211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21302213213211 its reverse (11231231220312), we get a palindrome (32533444433523).

The spelling of 21302213213211 in words is "twenty-one trillion, three hundred two billion, two hundred thirteen million, two hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 7 17 21 51 73 101 119 219 303 357 511 707 1241 1533 1717 1987 2121 3723 4073 5151 5961 7373 8687 12019 12219 13909 22119 26061 28511 33779 36057 41727 51611 69241 85533 101337 125341 145051 154833 200687 207723 236453 297329 376023 411373 435153 484687 602061 709359 877387 891987 1015357 1234119 1404809 1454061 2081303 2465867 2632161 2879611 3046071 3411679 4214427 5054593 6243909 6993341 7397601 8093051 8638833 10235037 14650151 15163779 17261069 20980023 23881753 24279153 30030229 35382151 43950453 48953387 51783207 56651357 71645259 90090687 102551057 106146453 137581867 146860161 169954071 210211603 249052567 307653171 412745601 510513893 590792723 630634809 747157701 817398151 963073069 1531541679 1743367969 1772378169 2452194453 2889219207 3573597251 4135549061 5230103907 5721787057 10043476291 10720791753 12406647183 13895768567 17165361171 30130428873 41687305701 59670065023 70304334037 97270379969 179010195069 210913002111 291811139907 417690455161 1014391105391 1253071365483 3043173316173 7100737737737 21302213213211