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110131231320 = 233251127810917
BaseRepresentation
bin110011010010001010…
…1010011101001011000
3101112021020100012220100
41212210111103221120
53301022043400240
6122332114255400
710646104010025
oct1464425235130
9345236305810
10110131231320
1142785233150
1219416887560
13a501756c86
14548a7c454c
152ce88bae30
hex19a4553a58

110131231320 has 96 divisors (see below), whose sum is σ = 390465288720. Its totient is φ = 26698479360.

The previous prime is 110131231279. The next prime is 110131231367. The reversal of 110131231320 is 23132131011.

110131231320 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 312 + 31 + 320 = 666.

It is a super-2 number, since 2×1101312313202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 110131231293 and 110131231302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13901499 + ... + 13909418.

Almost surely, 2110131231320 is an apocalyptic number.

110131231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110131231320 is an abundant number, since it is smaller than the sum of its proper divisors (280334057400).

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

110131231320 is a wasteful number, since it uses less digits than its factorization.

110131231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810945 (or 27810938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110131231320 its reverse (23132131011), we get a palindrome (133263362331).

The spelling of 110131231320 in words is "one hundred ten billion, one hundred thirty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 27810917 55621834 83432751 111243668 139054585 166865502 222487336 250298253 278109170 305920087 333731004 417163755 500596506 556218340 611840174 667462008 834327510 917760261 1001193012 1112436680 1223680348 1251491265 1529600435 1668655020 1835520522 2002386024 2447360696 2502982530 2753280783 3059200870 3337310040 3671041044 4588801305 5005965060 5506561566 6118401740 7342082088 9177602610 10011930120 11013123132 12236803480 13766403915 18355205220 22026246264 27532807830 36710410440 55065615660 110131231320