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14220302100 = 22352434012749
BaseRepresentation
bin11010011111001100…
…01001011100010100
31100201001000012020120
431033212021130110
5213110344131400
610311022231540
71012251400464
oct151746113424
940631005216
1014220302100
116037a98494
12290a4255b0
131458153c54
1498c861ba4
1558364cca0
hex34f989714

14220302100 has 144 divisors (see below), whose sum is σ = 42221256000. Its totient is φ = 3693312000.

The previous prime is 14220302029. The next prime is 14220302101. The reversal of 14220302100 is 120302241.

14220302100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14220302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220302101) 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 47 ways as a sum of consecutive naturals, for example, 5171526 + ... + 5174274.

Almost surely, 214220302100 is an apocalyptic number.

14220302100 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 14220302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21110628000).

14220302100 is an abundant number, since it is smaller than the sum of its proper divisors (28000953900).

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

14220302100 is a wasteful number, since it uses less digits than its factorization.

14220302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14220302100 its reverse (120302241), we get a palindrome (14340604341).

The spelling of 14220302100 in words is "fourteen billion, two hundred twenty million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 401 430 516 645 802 860 1075 1203 1290 1604 2005 2150 2406 2580 2749 3225 4010 4300 4812 5498 6015 6450 8020 8247 10025 10996 12030 12900 13745 16494 17243 20050 24060 27490 30075 32988 34486 40100 41235 51729 54980 60150 68725 68972 82470 86215 103458 118207 120300 137450 164940 172430 206175 206916 236414 258645 274900 344860 354621 412350 431075 472828 517290 591035 709242 824700 862150 1034580 1102349 1182070 1293225 1418484 1724300 1773105 2204698 2364140 2586450 2955175 3307047 3546210 4409396 5172900 5511745 5910350 6614094 7092420 8865525 11023490 11820700 13228188 16535235 17731050 22046980 27558725 33070470 35462100 47401007 55117450 66140940 82676175 94802014 110234900 142203021 165352350 189604028 237005035 284406042 330704700 474010070 568812084 711015105 948020140 1185025175 1422030210 2370050350 2844060420 3555075525 4740100700 7110151050 14220302100