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14200221100 = 22521343534793
BaseRepresentation
bin11010011100110011…
…00010110110101100
31100122122012222021211
431032121202312230
5213040224033400
610305024004204
71011615613342
oct151631426654
940578188254
1014200221100
11602772231a
122903760664
131453c429c0
14989d15992
155819d2dba
hex34e662dac

14200221100 has 144 divisors (see below), whose sum is σ = 34604472672. Its totient is φ = 5023549440.

The previous prime is 14200221073. The next prime is 14200221131. The reversal of 14200221100 is 112200241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2960304 + ... + 2965096.

It is an arithmetic number, because the mean of its divisors is an integer number (240308838).

Almost surely, 214200221100 is an apocalyptic number.

14200221100 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 14200221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302236336).

14200221100 is an abundant number, since it is smaller than the sum of its proper divisors (20404251572).

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

14200221100 is a wasteful number, since it uses less digits than its factorization.

14200221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14200221100 its reverse (112200241), we get a palindrome (14312421341).

The spelling of 14200221100 in words is "fourteen billion, two hundred million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 53 65 86 100 106 130 172 212 215 260 265 325 430 530 559 650 689 860 1060 1075 1118 1300 1325 1378 2150 2236 2279 2650 2756 2795 3445 4300 4558 4793 5300 5590 6890 9116 9586 11180 11395 13780 13975 17225 19172 22790 23965 27950 29627 34450 45580 47930 55900 56975 59254 62309 68900 95860 113950 118508 119825 124618 148135 206099 227900 239650 249236 254029 296270 311545 412198 479300 508058 592540 623090 740675 824396 1016116 1030495 1246180 1270145 1481350 1557725 2060990 2540290 2679287 2962700 3115450 3302377 4121980 5080580 5152475 5358574 6230900 6350725 6604754 10304950 10717148 10923247 12701450 13209508 13396435 16511885 20609900 21846494 25402900 26792870 33023770 43692988 53585740 54616235 66047540 66982175 82559425 109232470 133964350 142002211 165118850 218464940 267928700 273081175 284004422 330237700 546162350 568008844 710011055 1092324700 1420022110 2840044220 3550055275 7100110550 14200221100