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211221110021193 = 34227277101340939
BaseRepresentation
bin110000000001101010111111…
…001110110101110001001001
31000200212112121022210121110000
4300001222333032311301021
5210141121313131134233
62025121345520113213
762330136003623346
oct6001527716656111
91020775538717400
10211221110021193
11613354080a1868
121b834096465809
1390b20b0358aac
143a23228b4d7cd
15196452c0edd13
hexc01abf3b5c49

211221110021193 has 80 divisors (see below), whose sum is σ = 318383686146240. Its totient is φ = 139546328701824.

The previous prime is 211221110021191. The next prime is 211221110021197. The reversal of 211221110021193 is 391120011122112.

211221110021193 is a `hidden beast` number, since 211 + 221 + 1 + 10 + 0 + 211 + 9 + 3 = 666.

211221110021193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211221110021193 - 21 = 211221110021191 is a prime.

It is a super-2 number, since 2×2112211100211932 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211221110021191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5159390118 + ... + 5159431056.

It is an arithmetic number, because the mean of its divisors is an integer number (3979796076828).

Almost surely, 2211221110021193 is an apocalyptic number.

It is an amenable number.

211221110021193 is a deficient number, since it is larger than the sum of its proper divisors (107162576125047).

211221110021193 is a wasteful number, since it uses less digits than its factorization.

211221110021193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42468 (or 42459 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 211221110021193 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred ten million, twenty-one thousand, one hundred ninety-three".

Divisors: 1 3 9 27 81 227 277 681 831 1013 2043 2493 3039 6129 7479 9117 18387 22437 27351 40939 62879 82053 122817 188637 229951 280601 368451 565911 689853 841803 1105353 1697733 2069559 2525409 3316059 5093199 6208677 7576227 9293153 11340103 18626031 22728681 27879459 34020309 41471207 63696427 83638377 102060927 124413621 191089281 250915131 306182781 373240863 573267843 752745393 918548343 1119722589 1719803529 2574203381 3359167767 5159410587 7722610143 9413963989 11487524339 23167830429 28241891967 34462573017 69503491287 84725675901 103387719051 208510473861 254177027703 310163157153 762531083109 930489471459 2607668024953 7823004074859 23469012224577 70407036673731 211221110021193