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211493306871 = 327114347151007
BaseRepresentation
bin1100010011110111111…
…0111100000111110111
3202012220022222011112200
43010331332330013313
511431114241304441
6241054135315543
721165000306210
oct3047576740767
9665808864480
10211493306871
118176a504820
1234ba481bbb3
1316c364c7282
14a3446c4407
15577c4a87b6
hex313dfbc1f7

211493306871 has 96 divisors (see below), whose sum is σ = 398023262208. Its totient is φ = 105027693120.

The previous prime is 211493306833. The next prime is 211493306897. The reversal of 211493306871 is 178603394112.

211493306871 is a `hidden beast` number, since 2 + 1 + 1 + 493 + 30 + 68 + 71 = 666.

It is not a de Polignac number, because 211493306871 - 211 = 211493304823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211493306831) 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, 1325050 + ... + 1476056.

It is an arithmetic number, because the mean of its divisors is an integer number (4146075648).

Almost surely, 2211493306871 is an apocalyptic number.

211493306871 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211493306871 is a deficient number, since it is larger than the sum of its proper divisors (186529955337).

211493306871 is a wasteful number, since it uses less digits than its factorization.

211493306871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151121 (or 151118 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 211493306871 in words is "two hundred eleven billion, four hundred ninety-three million, three hundred six thousand, eight hundred seventy-one".

Divisors: 1 3 7 9 11 21 33 43 47 63 77 99 129 141 231 301 329 387 423 473 517 693 903 987 1419 1551 2021 2709 2961 3311 3619 4257 4653 6063 9933 10857 14147 18189 22231 29799 32571 42441 66693 127323 151007 155617 200079 453021 466851 1057049 1359063 1400553 1661077 3171147 4983231 6493301 7097329 9513441 11627539 14949693 19479903 21291987 34882617 45453107 49681303 58439709 63875961 71426311 78070619 104647851 136359321 149043909 214278933 234211857 305185147 409077963 447131727 499984177 546494333 642836799 702635571 915555441 1499952531 1639482999 2136296029 2746666323 3357036617 4499857593 4918448997 6408888087 10071109851 19226664261 23499256319 30213329553 70497768957 211493306871