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13420110200 = 2352724912789
BaseRepresentation
bin11000111111110011…
…01010000101111000
31021122021022020022112
430133321222011320
5204441022011300
610055355311452
7653364024500
oct143771520570
937567266275
1013420110200
115767336472
12272644b588
13135b434913
14914486a00
15538288e35
hex31fe6a178

13420110200 has 144 divisors (see below), whose sum is σ = 36382883400. Its totient is φ = 4590163200.

The previous prime is 13420110169. The next prime is 13420110269. The reversal of 13420110200 is 201102431.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4810406 + ... + 4813194.

Almost surely, 213420110200 is an apocalyptic number.

13420110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191441700).

13420110200 is an abundant number, since it is smaller than the sum of its proper divisors (22962773200).

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

13420110200 is a wasteful number, since it uses less digits than its factorization.

13420110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13420110200 its reverse (201102431), we get a palindrome (13621212631).

The spelling of 13420110200 in words is "thirteen billion, four hundred twenty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 491 700 980 982 1225 1400 1960 1964 2450 2455 2789 3437 3928 4900 4910 5578 6874 9800 9820 11156 12275 13748 13945 17185 19523 19640 22312 24059 24550 27496 27890 34370 39046 48118 49100 55780 68740 69725 78092 85925 96236 97615 98200 111560 120295 136661 137480 139450 156184 171850 192472 195230 240590 273322 278900 343700 390460 481180 488075 546644 557800 601475 683305 687400 780920 962360 976150 1093288 1202950 1366610 1369399 1952300 2405900 2733220 2738798 3416525 3904600 4811800 5466440 5477596 6833050 6846995 9585793 10955192 13666100 13693990 19171586 27332200 27387980 34234975 38343172 47928965 54775960 67100551 68469950 76686344 95857930 134201102 136939900 191715860 239644825 268402204 273879800 335502755 383431720 479289650 536804408 671005510 958579300 1342011020 1677513775 1917158600 2684022040 3355027550 6710055100 13420110200