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3214210233213 = 327172436836011
BaseRepresentation
bin101110110001011101110…
…110111111001101111101
3102101021102211121121021100
4232301131312333031331
5410130200304430323
610500330544123313
7451135061124330
oct56613566771575
912337384547240
103214210233213
11102a158978471
1243ab28606539
131a4138b88ca5
14b17d6378617
15589204c7943
hex2ec5ddbf37d

3214210233213 has 144 divisors (see below), whose sum is σ = 5776961389056. Its totient is φ = 1685697108480.

The previous prime is 3214210233173. The next prime is 3214210233277. The reversal of 3214210233213 is 3123320124123.

3214210233213 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 210 + 233 + 213 = 666.

It is not a de Polignac number, because 3214210233213 - 212 = 3214210229117 is a prime.

It is a super-2 number, since 2×32142102332132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214210253213) 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 143 ways as a sum of consecutive naturals, for example, 534718378 + ... + 534724388.

It is an arithmetic number, because the mean of its divisors is an integer number (40117787424).

Almost surely, 23214210233213 is an apocalyptic number.

It is an amenable number.

3214210233213 is a deficient number, since it is larger than the sum of its proper divisors (2562751155843).

3214210233213 is a wasteful number, since it uses less digits than its factorization.

3214210233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3214210233213 its reverse (3123320124123), we get a palindrome (6337530357336).

The spelling of 3214210233213 in words is "three trillion, two hundred fourteen billion, two hundred ten million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 7 9 17 21 43 51 63 119 129 153 289 301 357 387 683 731 867 903 1071 2023 2049 2193 2601 2709 4781 5117 6011 6069 6147 6579 11611 12427 14343 15351 18033 18207 29369 34833 37281 42077 43029 46053 54099 81277 86989 88107 102187 104499 111843 126231 197387 205583 243831 258473 260967 264321 306561 378693 499273 592161 616749 715309 731493 775419 782901 919683 1381709 1497819 1737179 1776483 1809311 1850247 2145927 2326257 3494911 4105513 4145127 4394041 4493457 5211537 5427933 6437781 8487641 10484733 12160253 12316539 12435381 13182123 15634611 16283799 25462923 28738591 30758287 31454199 36480759 36949617 39546369 59413487 69793721 74698697 76388769 86215773 92274861 109442277 176537059 178240461 209381163 224096091 258647319 276824583 488556047 522890879 529611177 534721383 628143489 672288273 1186493257 1235759413 1465668141 1568672637 1588833531 3001130003 3559479771 3707278239 4397004423 4706017911 8305452799 9003390009 10678439313 11121834717 21007910021 24916358397 27010170027 51019210051 63023730063 74749075191 153057630153 189071190189 357134470357 459172890459 1071403411071 3214210233213