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11001100120164 = 223271122917330353
BaseRepresentation
bin1010000000010110010010…
…1010100011000001100100
31102221200202120201120110200
42200011210222203001210
52420220223112321124
635221500254550500
72213542342066620
oct240054452430144
942850676646420
1011001100120164
1135615a4246530
121298106208430
1361a52631762b
142a0655706180
1514126d065bc9
hexa0164aa3064

11001100120164 has 144 divisors (see below), whose sum is σ = 34821533685120. Its totient is φ = 2844950584320.

The previous prime is 11001100120163. The next prime is 11001100120201. The reversal of 11001100120164 is 46102100110011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11001100120163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8030389 + ... + 9299964.

Almost surely, 211001100120164 is an apocalyptic number.

11001100120164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11001100120164 is an abundant number, since it is smaller than the sum of its proper divisors (23820433564956).

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

11001100120164 is a wasteful number, since it uses less digits than its factorization.

11001100120164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17330610 (or 17330605 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11001100120164 its reverse (46102100110011), we get a palindrome (57103200230175).

The spelling of 11001100120164 in words is "eleven trillion, one billion, one hundred million, one hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 229 231 252 308 396 458 462 687 693 916 924 1374 1386 1603 2061 2519 2748 2772 3206 4122 4809 5038 6412 7557 8244 9618 10076 14427 15114 17633 19236 22671 28854 30228 35266 45342 52899 57708 70532 90684 105798 158697 211596 317394 634788 17330353 34660706 51991059 69321412 103982118 121312471 155973177 190633883 207964236 242624942 311946354 363937413 381267766 485249884 571901649 623892708 727874826 762535532 1091812239 1143803298 1334437181 1455749652 1715704947 2183624478 2287606596 2668874362 3431409894 3968650837 4003311543 4367248956 5337748724 6862819788 7937301674 8006623086 11905952511 12009934629 15874603348 16013246172 23811905022 24019869258 27780555859 35717857533 43655159207 47623810044 48039738516 55561111718 71435715066 83341667577 87310318414 111122223436 130965477621 142871430132 166683335154 174620636828 250025002731 261930955242 305586114449 333366670308 392896432863 500050005462 523861910484 611172228898 785792865726 916758343347 1000100010924 1222344457796 1571585731452 1833516686694 2750275030041 3667033373388 5500550060082 11001100120164