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1100240053311 = 372236719924407
BaseRepresentation
bin10000000000101011011…
…010101110010000111111
310220011220121202201222010
4100000223122232100333
5121011242423201221
62201235430422303
7142326655101300
oct20005332562077
93804817681863
101100240053311
11394677910663
12159298201993
137c9a1747459
143b3753147a7
151d946abcc76
hex1002b6ae43f

1100240053311 has 96 divisors (see below), whose sum is σ = 1816423833600. Its totient is φ = 589396699584.

The previous prime is 1100240053303. The next prime is 1100240053327. The reversal of 1100240053311 is 1133500420011.

It is not a de Polignac number, because 1100240053311 - 23 = 1100240053303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100240052311) 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 95 ways as a sum of consecutive naturals, for example, 45066670 + ... + 45091076.

It is an arithmetic number, because the mean of its divisors is an integer number (18921081600).

Almost surely, 21100240053311 is an apocalyptic number.

1100240053311 is a deficient number, since it is larger than the sum of its proper divisors (716183780289).

1100240053311 is a wasteful number, since it uses less digits than its factorization.

1100240053311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24713 (or 24706 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 1100240053311 its reverse (1133500420011), we get a palindrome (2233740473322).

The spelling of 1100240053311 in words is "one trillion, one hundred billion, two hundred forty million, fifty-three thousand, three hundred eleven".

Divisors: 1 3 7 21 23 49 67 69 147 161 199 201 469 483 597 1127 1393 1407 1541 3283 3381 4179 4577 4623 9751 9849 10787 13333 13731 24407 29253 32039 32361 39999 73221 75509 93331 96117 170849 224273 226527 279993 306659 512547 561361 653317 672819 919977 1195943 1635269 1684083 1959951 2146613 3587829 3929527 4856993 4905807 6439839 11446883 11788581 14570979 15026291 27506689 33998951 34340649 37611187 45078873 80128181 82520067 101996853 111710839 112833561 237992657 240384543 263278309 325418531 335132517 713977971 781975873 789834927 976255593 1842948163 2277929717 2345927619 5473831111 5528844489 6833789151 7484626213 15945508019 16421493333 22453878639 47836524057 52392383491 157177150473 366746684437 1100240053311