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13044600900 = 22325247308383
BaseRepresentation
bin11000010011000010…
…01101000001000100
31020200002201101101200
430021201031001010
5203203404212100
65554223022500
7641154164262
oct141141150104
936602641350
1013044600900
115594378801
12264073aa30
1312cb6b9776
148ba659432
15515311e00
hex30984d044

13044600900 has 108 divisors (see below), whose sum is σ = 41757660672. Its totient is φ = 3404537280.

The previous prime is 13044600869. The next prime is 13044600913. The reversal of 13044600900 is 900644031.

13044600900 is a `hidden beast` number, since 13 + 0 + 44 + 600 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×130446009002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111892 + ... + 196491.

Almost surely, 213044600900 is an apocalyptic number.

13044600900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044600900 is an abundant number, since it is smaller than the sum of its proper divisors (28713059772).

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

13044600900 is a wasteful number, since it uses less digits than its factorization.

13044600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308450 (or 308440 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13044600900 in words is "thirteen billion, forty-four million, six hundred thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 2115 2350 2820 3525 4230 4700 7050 8460 10575 14100 21150 42300 308383 616766 925149 1233532 1541915 1850298 2775447 3083830 3700596 4625745 5550894 6167660 7709575 9251490 11101788 13877235 14494001 15419150 18502980 23128725 27754470 28988002 30838300 43482003 46257450 55508940 57976004 69386175 72470005 86964006 92514900 130446009 138772350 144940010 173928012 217410015 260892018 277544700 289880020 362350025 434820030 521784036 652230045 724700050 869640060 1087050075 1304460090 1449400100 2174100150 2608920180 3261150225 4348200300 6522300450 13044600900