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11102130144 = 253275507009
BaseRepresentation
bin10100101011011110…
…10000111111100000
31001122201121122110100
422111233100333200
5140214121131034
65033353102400
7542056356240
oct122557207740
931581548410
1011102130144
114787954776
12219a0b7a00
13107c1358a1
14774697b20
1544ea15099
hex295bd0fe0

11102130144 has 72 divisors (see below), whose sum is σ = 36081929520. Its totient is φ = 3172036608.

The previous prime is 11102130079. The next prime is 11102130157. The reversal of 11102130144 is 44103120111.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2751489 + ... + 2755520.

It is an arithmetic number, because the mean of its divisors is an integer number (501137910).

Almost surely, 211102130144 is an apocalyptic number.

11102130144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11102130144 is an abundant number, since it is smaller than the sum of its proper divisors (24979799376).

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

11102130144 is a wasteful number, since it uses less digits than its factorization.

11102130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507032 (or 5507021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11102130144 its reverse (44103120111), we get a palindrome (55205250255).

It can be divided in two parts, 11102 and 130144, that added together give a triangular number (141246 = T531).

The spelling of 11102130144 in words is "eleven billion, one hundred two million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5507009 11014018 16521027 22028036 33042054 38549063 44056072 49563081 66084108 77098126 88112144 99126162 115647189 132168216 154196252 176224288 198252324 231294378 264336432 308392504 346941567 396504648 462588756 528672864 616785008 693883134 793009296 925177512 1233570016 1387766268 1586018592 1850355024 2775532536 3700710048 5551065072 11102130144