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211412040411 = 311132298315749
BaseRepresentation
bin1100010011100100100…
…0111011101011011011
3202012200200001101220210
43010321020323223123
511430432440243121
6241042113422203
721162662456565
oct3047110735333
9665620041823
10211412040411
1181728649060
1234b8156a963
1316c22712600
14a3379ac335
1557752a4876
hex313923badb

211412040411 has 96 divisors (see below), whose sum is σ = 348636960000. Its totient is φ = 112811112960.

The previous prime is 211412040377. The next prime is 211412040431. The reversal of 211412040411 is 114040214112.

It is not a de Polignac number, because 211412040411 - 27 = 211412040283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211412040431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13415965 + ... + 13431713.

It is an arithmetic number, because the mean of its divisors is an integer number (3631635000).

Almost surely, 2211412040411 is an apocalyptic number.

211412040411 is a deficient number, since it is larger than the sum of its proper divisors (137224919589).

211412040411 is a wasteful number, since it uses less digits than its factorization.

211412040411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15901 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211412040411 its reverse (114040214112), we get a palindrome (325452254523).

The spelling of 211412040411 in words is "two hundred eleven billion, four hundred twelve million, forty thousand, four hundred eleven".

Divisors: 1 3 11 13 29 33 39 83 87 143 169 249 319 377 429 507 913 957 1079 1131 1859 2407 2739 3237 4147 4901 5577 7221 11869 12441 14027 14703 15749 26477 31291 35607 42081 47247 53911 79431 93873 154297 161733 173239 204737 344201 406783 456721 462891 519717 614211 1032603 1220349 1307167 1370163 2252107 2661581 3921501 4474613 5023931 5937373 6756321 7984743 13423839 14378837 15071793 16993171 17812119 29277391 37907843 43136511 50979513 65311103 77185849 87832173 113723529 186924881 195933309 220911223 231557547 416986273 492801959 560774643 662733669 849044339 1250958819 1478405877 2430023453 2547133017 5420821549 6406425467 7290070359 16262464647 19219276401 70470680137 211412040411