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212011131110211 = 3617166310287029
BaseRepresentation
bin110000001101001010110000…
…001010001000001101000011
31000210200001210020212011000000
4300031022300022020031003
5210242042244031011321
62030524322525531043
762441204320236426
oct6015126012101503
91023601706764000
10212011131110211
116160a463435a94
121b941216a13a83
13913b743abccc4
143a4d571a819bd
151979d692eb826
hexc0d2b0288343

212011131110211 has 56 divisors (see below), whose sum is σ = 336772014958080. Its totient is φ = 132946587207936.

The previous prime is 212011131110183. The next prime is 212011131110243. The reversal of 212011131110211 is 112011131110212.

212011131110211 is a `hidden beast` number, since 2 + 1 + 20 + 111 + 311 + 10 + 211 = 666.

It is not a de Polignac number, because 212011131110211 - 213 = 212011131102019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212011131110291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15466045 + ... + 25753073.

Almost surely, 2212011131110211 is an apocalyptic number.

212011131110211 is a deficient number, since it is larger than the sum of its proper divisors (124760883847869).

212011131110211 is a wasteful number, since it uses less digits than its factorization.

212011131110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288727 (or 10288712 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 212011131110211 its reverse (112011131110212), we get a palindrome (324022262220423).

Subtracting from 212011131110211 its reverse (112011131110212), we obtain a palindrome (99999999999999).

The spelling of 212011131110211 in words is "two hundred twelve trillion, eleven billion, one hundred thirty-one million, one hundred ten thousand, two hundred eleven".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 1663 4131 4989 12393 14967 28271 44901 84813 134703 254439 404109 763317 1212327 2289951 6869853 10287029 20609559 30861087 92583261 174879493 277749783 524638479 833249349 1573915437 2499748047 4721746311 7499244141 14165238933 17107329227 42495716799 51321987681 127487150397 153965963043 290824596859 461897889129 872473790577 1385693667387 2617421371731 4157081002161 7852264115193 12471243006483 23556792345579 70670377036737 212011131110211