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13123222200 = 23325211662789
BaseRepresentation
bin11000011100011010…
…00111101010111000
31020212120122202112200
430032031013222320
5203334021102300
610010112110200
7643130356014
oct141615075270
936776582480
1013123222200
115624798090
122662b35360
131311a8644a
148c6c83544
1551c192200
hex30e347ab8

13123222200 has 144 divisors (see below), whose sum is σ = 48078786600. Its totient is φ = 3181382400.

The previous prime is 13123222181. The next prime is 13123222201. The reversal of 13123222200 is 222232131.

13123222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123222201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 311595 + ... + 351194.

Almost surely, 213123222200 is an apocalyptic number.

13123222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123222200 is an abundant number, since it is smaller than the sum of its proper divisors (34955564400).

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

13123222200 is a wasteful number, since it uses less digits than its factorization.

13123222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662822 (or 662810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13123222200 its reverse (222232131), we get a palindrome (13345454331).

The spelling of 13123222200 in words is "thirteen billion, one hundred twenty-three million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 662789 1325578 1988367 2651156 3313945 3976734 5302312 5965101 6627890 7290679 7953468 9941835 11930202 13255780 14581358 15906936 16569725 19883670 21872037 23860404 26511560 29162716 29825505 33139450 36453395 39767340 43744074 47720808 49709175 58325432 59651010 65616111 66278900 72906790 79534680 87488148 99418350 109360185 119302020 131232222 132557800 145813580 149127525 174976296 182266975 198836700 218720370 238604040 262464444 291627160 298255050 328080555 364533950 397673400 437440740 524928888 546800925 596510100 656161110 729067900 874881480 1093601850 1193020200 1312322220 1458135800 1640402775 2187203700 2624644440 3280805550 4374407400 6561611100 13123222200