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11110314404 = 2272333751193
BaseRepresentation
bin10100101100011100…
…11111000110100100
31001200022000110011002
422112032133012210
5140223220030104
65034244332432
7542216054120
oct122616370644
931608013132
1011110314404
114791534722
1221a09a4118
131080a3cb47
147757c8580
154505d001e
hex29639f1a4

11110314404 has 48 divisors (see below), whose sum is σ = 23256000768. Its totient is φ = 4540935168.

The previous prime is 11110314403. The next prime is 11110314407. The reversal of 11110314404 is 40441301111.

11110314404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11110314401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191432 + ... + 242624.

It is an arithmetic number, because the mean of its divisors is an integer number (484500016).

Almost surely, 211110314404 is an apocalyptic number.

11110314404 is a gapful number since it is divisible by the number (14) 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 11110314404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628000384).

11110314404 is an abundant number, since it is smaller than the sum of its proper divisors (12145686364).

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

11110314404 is a wasteful number, since it uses less digits than its factorization.

11110314404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51564 (or 51562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11110314404 its reverse (40441301111), we get a palindrome (51551615515).

The spelling of 11110314404 in words is "eleven billion, one hundred ten million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 337 644 674 1348 2359 4718 7751 9436 15502 31004 51193 54257 102386 108514 204772 217028 358351 716702 1177439 1433404 2354878 4709756 8242073 16484146 17252041 32968292 34504082 69008164 120764287 241528574 396796943 483057148 793593886 1587187772 2777578601 5555157202 11110314404