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111113203120 = 2456134765617
BaseRepresentation
bin110011101111011011…
…1001110110110110000
3101121210200002112222021
41213132313032312300
53310024434444440
6123013353321224
711012326433413
oct1473667166660
9347720075867
10111113203120
1143139563097
121964b706214
13a62a02138a
145540d9bb7a
152d54bda84a
hex19dedcedb0

111113203120 has 80 divisors (see below), whose sum is σ = 263333958048. Its totient is φ = 43590021120.

The previous prime is 111113203109. The next prime is 111113203133. The reversal of 111113203120 is 21302311111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1111132031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111113203094 and 111113203103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660552 + ... + 1726168.

Almost surely, 2111113203120 is an apocalyptic number.

111113203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111113203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131666979024).

111113203120 is an abundant number, since it is smaller than the sum of its proper divisors (152220754928).

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

111113203120 is a wasteful number, since it uses less digits than its factorization.

111113203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66038 (or 66032 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 111113203120 its reverse (21302311111), we get a palindrome (132415514231).

The spelling of 111113203120 in words is "one hundred eleven billion, one hundred thirteen million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 347 488 610 694 976 1220 1388 1735 2440 2776 3470 4880 5552 6940 13880 21167 27760 42334 65617 84668 105835 131234 169336 211670 262468 328085 338672 423340 524936 656170 846680 1049872 1312340 1693360 2624680 4002637 5249360 8005274 16010548 20013185 22769099 32021096 40026370 45538198 64042192 80052740 91076396 113845495 160105480 182152792 227690990 320210960 364305584 455381980 910763960 1388915039 1821527920 2777830078 5555660156 6944575195 11111320312 13889150390 22222640624 27778300780 55556601560 111113203120