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11322330201 = 3371367109631
BaseRepresentation
bin10101000101101110…
…10000110001011001
31002020001221222011000
422202313100301121
5141142004031301
65111300455213
7550402135020
oct124267206131
932201858130
1011322330201
114890184296
12223b9aa509
1310b5943390
14795a178b7
1546400e786
hex2a2dd0c59

11322330201 has 128 divisors (see below), whose sum is σ = 21178572800. Its totient is φ = 5819869440.

The previous prime is 11322330199. The next prime is 11322330209. The reversal of 11322330201 is 10203322311.

11322330201 is a `hidden beast` number, since 1 + 132 + 2 + 330 + 201 = 666.

It is not a de Polignac number, because 11322330201 - 21 = 11322330199 is a prime.

It is a super-3 number, since 3×113223302013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11322330209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17943156 + ... + 17943786.

It is an arithmetic number, because the mean of its divisors is an integer number (165457600).

Almost surely, 211322330201 is an apocalyptic number.

It is an amenable number.

11322330201 is a deficient number, since it is larger than the sum of its proper divisors (9856242599).

11322330201 is a wasteful number, since it uses less digits than its factorization.

11322330201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11322330201 its reverse (10203322311), we get a palindrome (21525652512).

The spelling of 11322330201 in words is "eleven billion, three hundred twenty-two million, three hundred thirty thousand, two hundred one".

Divisors: 1 3 7 9 13 21 27 39 63 67 91 109 117 189 201 273 327 351 469 603 631 763 819 871 981 1407 1417 1809 1893 2289 2457 2613 2943 4221 4251 4417 5679 6097 6867 7303 7839 8203 9919 12663 12753 13251 17037 18291 20601 21909 23517 24609 29757 38259 39753 42277 51121 54873 57421 65727 68779 73827 89271 94939 119259 126831 153363 164619 172263 197181 206337 221481 267813 284817 295939 380493 460089 481453 516789 549601 619011 664573 854451 887817 894127 1141479 1380267 1444359 1550367 1648803 1857033 1993719 2563353 2663451 2682381 3847207 4333077 4608193 4946409 5981157 6258889 7990353 8047143 11541621 12999231 13824579 14839227 17943471 18776667 24141429 32257351 34624863 41473737 56330001 59906509 96772053 103874589 124421211 168990003 179719527 290316159 419345563 539158581 870948477 1258036689 1617475743 3774110067 11322330201