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211210120021011 = 31959618329034273
BaseRepresentation
bin110000000001100000110000…
…001011010100010000010011
31000200211111020102011202101020
4300001200300023110100103
5210140431311211133021
62025112331210210523
762326266445306446
oct6001406013242023
91020744212152336
10211210120021011
1161330788573a91
121b831b29a23a43
1390b104b522bc7
143a228a532365d
1519640d73877c6
hexc018302d4413

211210120021011 has 128 divisors (see below), whose sum is σ = 310272541286400. Its totient is φ = 127357419018240.

The previous prime is 211210120020997. The next prime is 211210120021013. The reversal of 211210120021011 is 110120021012112.

It is a happy number.

It is not a de Polignac number, because 211210120021011 - 213 = 211210120012819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211210120021013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49428998571 + ... + 49429002843.

It is an arithmetic number, because the mean of its divisors is an integer number (2424004228800).

Almost surely, 2211210120021011 is an apocalyptic number.

211210120021011 is a deficient number, since it is larger than the sum of its proper divisors (99062421265389).

211210120021011 is a wasteful number, since it uses less digits than its factorization.

211210120021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211210120021011 its reverse (110120021012112), we get a palindrome (321330141033123).

The spelling of 211210120021011 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty million, twenty-one thousand, eleven".

Divisors: 1 3 19 57 59 61 83 177 183 249 1121 1159 1577 2903 3363 3477 3599 4273 4731 4897 5063 8709 10797 12819 14691 15189 55157 68381 81187 93043 96197 165471 171277 177083 205143 240949 243561 252107 260653 279129 288591 298717 354659 513831 531249 722847 756321 781959 896151 1063977 3254263 3364577 4578031 4790033 4952407 5675623 6738521 9762789 10093731 10447897 12404519 13734093 14215991 14370099 14697889 14857221 15378527 17026869 20215563 20924881 21634199 31343691 37213557 42647973 44093667 46135581 62774643 64902597 198510043 235685861 270103829 279259891 292192013 397572739 411049781 595530129 707057583 731866621 756675659 810311487 837779673 867175451 876576039 1029575077 1192718217 1233149343 1276417741 2195599863 2270026977 2601526353 3088725231 3829253223 13905465799 14376837521 16476333569 19561926463 24251937079 41716397397 43130512563 44643863881 49429000707 58685779389 60744929543 62804079697 72755811237 133931591643 182234788629 188412239091 848233413739 1154153661317 1193277514243 2544700241217 3462460983951 3579832542729 3705440702123 11116322106369 70403373340337 211210120021011