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11120310444 = 22341149151693
BaseRepresentation
bin10100101101101001…
…00111100010101100
31001200222211022010210
422112310213202230
5140233244413234
65035242502420
7542400036105
oct122664474254
931628738123
1011120310444
114797141911
1221a4204a10
131082b2c969
14776c6b3ac
15451406be9
hex296d278ac

11120310444 has 48 divisors (see below), whose sum is σ = 26758821600. Its totient is φ = 3592066560.

The previous prime is 11120310427. The next prime is 11120310491. The reversal of 11120310444 is 44401302111.

11120310444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×111203104444 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11120310444.

It is an unprimeable number.

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, 2539 + ... + 149154.

It is an arithmetic number, because the mean of its divisors is an integer number (557475450).

Almost surely, 211120310444 is an apocalyptic number.

It is an amenable number.

11120310444 is an abundant number, since it is smaller than the sum of its proper divisors (15638511156).

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

11120310444 is a wasteful number, since it uses less digits than its factorization.

11120310444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151890 (or 151888 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11120310444 its reverse (44401302111), we get a palindrome (55521612555).

The spelling of 11120310444 in words is "eleven billion, one hundred twenty million, three hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 41 82 123 149 164 246 298 447 492 596 894 1788 6109 12218 18327 24436 36654 73308 151693 303386 455079 606772 910158 1820316 6219413 12438826 18658239 22602257 24877652 37316478 45204514 67806771 74632956 90409028 135613542 271227084 926692537 1853385074 2780077611 3706770148 5560155222 11120310444