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11303111243232 = 253246384766553
BaseRepresentation
bin1010010001111011010111…
…1011100011010111100000
31111000120022020221020102100
42210132311323203113200
52440142232434240412
640012324433250400
72244423430221654
oct244366573432740
944016266836370
1011303111243232
113668693697306
121326751103a00
1363cb569b6393
142b110599aa64
15149047082edc
hexa47b5ee35e0

11303111243232 has 72 divisors (see below), whose sum is σ = 32212646784864. Its totient is φ = 3759566114304.

The previous prime is 11303111243131. The next prime is 11303111243243. The reversal of 11303111243232 is 23234211130311.

11303111243232 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 311 + 1 + 24 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 11303111243196 and 11303111243205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42249933 + ... + 42516620.

It is an arithmetic number, because the mean of its divisors is an integer number (447397872012).

Almost surely, 211303111243232 is an apocalyptic number.

11303111243232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11303111243232 is an abundant number, since it is smaller than the sum of its proper divisors (20909535541632).

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

11303111243232 is a wasteful number, since it uses less digits than its factorization.

11303111243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84767032 (or 84767021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11303111243232 its reverse (23234211130311), we get a palindrome (34537322373543).

The spelling of 11303111243232 in words is "eleven trillion, three hundred three billion, one hundred eleven million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 463 926 1389 1852 2778 3704 4167 5556 7408 8334 11112 14816 16668 22224 33336 44448 66672 133344 84766553 169533106 254299659 339066212 508599318 678132424 762898977 1017198636 1356264848 1525797954 2034397272 2712529696 3051595908 4068794544 6103191816 8137589088 12206383632 24412767264 39246914039 78493828078 117740742117 156987656156 235481484234 313975312312 353222226351 470962968468 627950624624 706444452702 941925936936 1255901249248 1412888905404 1883851873872 2825777810808 3767703747744 5651555621616 11303111243232