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11100110320 = 2451347227089
BaseRepresentation
bin10100101011001111…
…00011110111110000
31001122120211000210001
422111213203313300
5140213112012240
65033241515344
7542033244445
oct122547436760
931576730701
1011100110320
1147867a51a2
1221994a2b54
13107b8a9420
147742cd9cc
1544e76689a
hex2959e3df0

11100110320 has 80 divisors (see below), whose sum is σ = 28384433280. Its totient is φ = 4011282432.

The previous prime is 11100110299. The next prime is 11100110323. The reversal of 11100110320 is 2301100111.

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

It is a super-3 number, since 3×111001103203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11100110297 and 11100110306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100110323) by changing a digit.

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, 64665 + ... + 162424.

It is an arithmetic number, because the mean of its divisors is an integer number (354805416).

Almost surely, 211100110320 is an apocalyptic number.

11100110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100110320 is an abundant number, since it is smaller than the sum of its proper divisors (17284322960).

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

11100110320 is a wasteful number, since it uses less digits than its factorization.

11100110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227162 (or 227156 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11100110320 its reverse (2301100111), we get a palindrome (13401210431).

The spelling of 11100110320 in words is "eleven billion, one hundred million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 940 1040 1222 1880 2444 3055 3760 4888 6110 9776 12220 24440 48880 227089 454178 908356 1135445 1816712 2270890 2952157 3633424 4541780 5904314 9083560 10673183 11808628 14760785 18167120 21346366 23617256 29521570 42692732 47234512 53365915 59043140 85385464 106731830 118086280 138751379 170770928 213463660 236172560 277502758 426927320 555005516 693756895 853854640 1110011032 1387513790 2220022064 2775027580 5550055160 11100110320