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211051505214 = 232111357778509
BaseRepresentation
bin1100010010001110100…
…1100110011000111110
3202011202112122022121100
43010203221212120332
511424213141131324
6240542234113530
721151024123554
oct3044351463076
9664675568540
10211051505214
1181563088690
1234aa087b8a6
1316b95b0b084
14a301b5bbd4
1557537d94c9
hex3123a6663e

211051505214 has 48 divisors (see below), whose sum is σ = 498892109040. Its totient is φ = 63949476480.

The previous prime is 211051505173. The next prime is 211051505237. The reversal of 211051505214 is 412505150112.

It is a happy number.

211051505214 is a `hidden beast` number, since 21 + 105 + 15 + 0 + 521 + 4 = 666.

211051505214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2648992 + ... + 2727500.

It is an arithmetic number, because the mean of its divisors is an integer number (10393585605).

Almost surely, 2211051505214 is an apocalyptic number.

211051505214 is an abundant number, since it is smaller than the sum of its proper divisors (287840603826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211051505214 is a wasteful number, since it uses less digits than its factorization.

211051505214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92105 (or 92102 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 211051505214 its reverse (412505150112), we get a palindrome (623556655326).

The spelling of 211051505214 in words is "two hundred eleven billion, fifty-one million, five hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 13577 27154 40731 78509 81462 122193 149347 157018 235527 244386 298694 448041 471054 706581 863599 896082 1344123 1413162 1727198 2590797 2688246 5181594 7772391 15544782 1065916693 2131833386 3197750079 6395500158 9593250237 11725083623 19186500474 23450167246 35175250869 70350501738 105525752607 211051505214