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13123113300 = 223252111325567
BaseRepresentation
bin11000011100011001…
…01101000101010100
31020212120110020011100
430032030231011110
5203334004111200
610010105510100
7643126423353
oct141614550524
936776406140
1013123113300
115624723290
122662aa2330
131311a489cb
148c6c5599a
1551c16ed00
hex30e32d154

13123113300 has 108 divisors (see below), whose sum is σ = 44873127936. Its totient is φ = 3181358400.

The previous prime is 13123113299. The next prime is 13123113359. The reversal of 13123113300 is 331132131.

It is a happy number.

13123113300 is a `hidden beast` number, since 13 + 12 + 311 + 330 + 0 = 666.

It is a super-2 number, since 2×131231133002 (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 652884 + ... + 672683.

Almost surely, 213123113300 is an apocalyptic number.

13123113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123113300 is an abundant number, since it is smaller than the sum of its proper divisors (31750014636).

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

13123113300 is a wasteful number, since it uses less digits than its factorization.

13123113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325598 (or 1325588 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13123113300 its reverse (331132131), we get a palindrome (13454245431).

The spelling of 13123113300 in words is "thirteen billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1325567 2651134 3976701 5302268 6627835 7953402 11930103 13255670 14581237 15906804 19883505 23860206 26511340 29162474 33139175 39767010 43743711 47720412 58324948 59650515 66278350 72906185 79534020 87487422 99417525 119301030 131231133 132556700 145812370 174974844 198835050 218718555 238602060 262462266 291624740 298252575 364530925 397670100 437437110 524924532 596505150 656155665 729061850 874874220 1093592775 1193010300 1312311330 1458123700 2187185550 2624622660 3280778325 4374371100 6561556650 13123113300