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11131330224 = 2437167198377
BaseRepresentation
bin10100101110111101…
…01001111010110000
31001201202120011102210
422113132221322300
5140244110031344
65040315012120
7542562513540
oct122736517260
931652504383
1011131330224
1147a2389173
1221a7a3a040
1310851ba741
147784d9320
15452381db9
hex2977a9eb0

11131330224 has 80 divisors (see below), whose sum is σ = 33060883968. Its totient is φ = 3161319936.

The previous prime is 11131330183. The next prime is 11131330237. The reversal of 11131330224 is 42203313111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11131330224.

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 15 ways as a sum of consecutive naturals, for example, 43077 + ... + 155300.

Almost surely, 211131330224 is an apocalyptic number.

11131330224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11131330224 is an abundant number, since it is smaller than the sum of its proper divisors (21929553744).

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

11131330224 is a wasteful number, since it uses less digits than its factorization.

11131330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198562 (or 198556 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11131330224 its reverse (42203313111), we get a palindrome (53334643335).

The spelling of 11131330224 in words is "eleven billion, one hundred thirty-one million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 2004 2338 2672 3507 4008 4676 7014 8016 9352 14028 18704 28056 56112 198377 396754 595131 793508 1190262 1388639 1587016 2380524 2777278 3174032 4165917 4761048 5554556 8331834 9522096 11109112 16663668 22218224 33128959 33327336 66257918 66654672 99386877 132515836 198773754 231902713 265031672 397547508 463805426 530063344 695708139 795095016 927610852 1391416278 1590190032 1855221704 2782832556 3710443408 5565665112 11131330224