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211330222033112 = 237133116756072777
BaseRepresentation
bin110000000011010000100110…
…110100001000100011011000
31000201020222020112022010011122
4300003100212310020203120
5210144413243320024422
62025243432545144412
762341050623464310
oct6003204664104330
91021228215263148
10211330222033112
1161377709a74326
121b85126792b108
1390bc47b8a6860
143a2861a022440
1519672b628dd42
hexc03426d088d8

211330222033112 has 128 divisors (see below), whose sum is σ = 506431387607040. Its totient is φ = 80421818250240.

The previous prime is 211330222033087. The next prime is 211330222033237.

211330222033112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24267533 + ... + 31805244.

It is an arithmetic number, because the mean of its divisors is an integer number (3956495215680).

Almost surely, 2211330222033112 is an apocalyptic number.

It is an amenable number.

211330222033112 is an abundant number, since it is smaller than the sum of its proper divisors (295101165573928).

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

211330222033112 is a wasteful number, since it uses less digits than its factorization.

211330222033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56073001 (or 56072997 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 211330222033112 in words is "two hundred eleven trillion, three hundred thirty billion, two hundred twenty-two million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 167 182 217 248 334 364 403 434 668 728 806 868 1169 1336 1612 1736 2171 2338 2821 3224 4342 4676 5177 5642 8684 9352 10354 11284 15197 17368 20708 22568 30394 36239 41416 60788 67301 72478 121576 134602 144956 269204 289912 471107 538408 942214 1884428 3768856 56072777 112145554 224291108 392509439 448582216 728946101 785018878 1457892202 1570037756 1738256087 2915784404 3140075512 3476512174 5102622707 5831568808 6953024348 9364153759 10205245414 12167792609 13906048696 18728307518 20410490828 22597329131 24335585218 37456615036 40820981656 45194658262 48671170436 65549076313 74913230072 90389316524 97342340872 121733998867 131098152626 158181303917 180778633048 243467997734 262196305252 290288766529 316362607834 486935995468 524392610504 580577533058 632725215668 852137992069 973871990936 1161155066116 1265450431336 1704275984138 2032021365703 2322310132232 3408551968276 3773753964877 4064042731406 6817103936552 7547507929754 8128085462812 15095015859508 16256170925624 26416277754139 30190031719016 52832555508278 105665111016556 211330222033112