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21022020230211 = 327111315017155387
BaseRepresentation
bin1001100011110100100100…
…00011000101110001000011
32202102200111201211112020200
410301322102003011301003
510223411044134331321
6112413214402340243
74266535154444550
oct461722203056103
982380451745220
1021022020230211
1167754304168a0
12243626005a683
13b964a26656a0
14529684dcda27
15266c6e8c4d26
hex131e920c5c43

21022020230211 has 96 divisors (see below), whose sum is σ = 40772955944448. Its totient is φ = 10079753080320.

The previous prime is 21022020230153. The next prime is 21022020230213. The reversal of 21022020230211 is 11203202022012.

21022020230211 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 2 + 0 + 230 + 211 = 666.

It is not a de Polignac number, because 21022020230211 - 213 = 21022020222019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21022020230213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135210460 + ... + 135365846.

It is an arithmetic number, because the mean of its divisors is an integer number (424718291088).

Almost surely, 221022020230211 is an apocalyptic number.

21022020230211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21022020230211 is a deficient number, since it is larger than the sum of its proper divisors (19750935714237).

21022020230211 is a wasteful number, since it uses less digits than its factorization.

21022020230211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170441 (or 170438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21022020230211 its reverse (11203202022012), we get a palindrome (32225222252223).

The spelling of 21022020230211 in words is "twenty-one trillion, twenty-two billion, twenty million, two hundred thirty thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 15017 45051 105119 135153 155387 165187 195221 315357 466161 495561 585663 946071 1087709 1156309 1366547 1398483 1486683 1709257 1756989 2020031 2147431 3263127 3468927 4099641 5127771 6060093 6442293 9789381 10406781 11964799 12298923 14140217 15032017 15383313 18180279 19326879 22220341 35894397 42420651 45096051 66661023 107683191 127261953 135288153 155542387 199983069 466627161 1399881483 2333446579 7000339737 16334126053 21001019211 25667912369 30334805527 49002378159 77003737107 91004416581 147007134477 179675386583 212343638689 231011211321 273013249743 333682860797 539026159749 637030916067 1001048582391 1617078479247 1911092748201 2335780025579 3003145747173 7007340076737 21022020230211