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211161106341 = 321923611137789
BaseRepresentation
bin1100010010101000101…
…1101100011110100101
3202012001011212122002100
43010222023230132211
511424424220400331
6241001151202313
721153524534433
oct3045213543645
9665034778070
10211161106341
1181609a37629
1234b11516399
1316bb2733a03
14a31252bd53
15575d238ae6
hex312a2ec7a5

211161106341 has 96 divisors (see below), whose sum is σ = 343572652800. Its totient is φ = 124348815360.

The previous prime is 211161106339. The next prime is 211161106391. The reversal of 211161106341 is 143601161112.

211161106341 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 611 + 0 + 6 + 3 + 41 = 666.

211161106341 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 211161106341 - 21 = 211161106339 is a prime.

It is a super-2 number, since 2×2111611063412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211161106391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27106275 + ... + 27114063.

It is an arithmetic number, because the mean of its divisors is an integer number (3578881800).

Almost surely, 2211161106341 is an apocalyptic number.

It is an amenable number.

211161106341 is a deficient number, since it is larger than the sum of its proper divisors (132411546459).

211161106341 is a wasteful number, since it uses less digits than its factorization.

211161106341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 211161106341 its reverse (143601161112), we get a palindrome (354762267453).

The spelling of 211161106341 in words is "two hundred eleven billion, one hundred sixty-one million, one hundred six thousand, three hundred forty-one".

Divisors: 1 3 9 19 23 57 61 69 113 171 183 207 339 437 549 1017 1159 1311 1403 2147 2599 3477 3933 4209 6441 6893 7789 7797 10431 12627 19323 20679 23367 23391 26657 49381 62037 70101 79971 130967 147991 148143 158539 179147 239913 392901 443973 444429 475129 475617 537441 880157 1178703 1331919 1425387 1426851 1612323 2640471 3012241 3403793 4276161 7921413 9027451 9036723 10211379 10927967 16722983 20243611 27082353 27110169 30634137 32783901 50168949 53689577 60730833 81247059 98351703 150506847 161068731 182192499 207631373 384628609 483206193 622894119 1020101963 1153885827 1234860271 1868682357 3060305889 3461657481 3704580813 9180917667 11113742439 23462345149 70387035447 211161106341