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21002200303200 = 2535247186189719
BaseRepresentation
bin1001100011001111101001…
…01100000100011001100000
32202100210100110010220200220
410301213310230010121200
510223100001234200300
6112400135544443040
74265234050032024
oct461476454043140
982323313126626
1021002200303200
116767a8a5aa326
12243244a479480
13b94664388c1c
145287249c0384
152664ae878da0
hex1319f4b04660

21002200303200 has 144 divisors (see below), whose sum is σ = 69816676446720. Its totient is φ = 5481425297920.

The previous prime is 21002200303187. The next prime is 21002200303207. The reversal of 21002200303200 is 230300220012.

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 21002200303200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002200303207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 92982060 + ... + 93207659.

It is an arithmetic number, because the mean of its divisors is an integer number (484838030880).

Almost surely, 221002200303200 is an apocalyptic number.

21002200303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002200303200 is an abundant number, since it is smaller than the sum of its proper divisors (48814476143520).

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

21002200303200 is a wasteful number, since it uses less digits than its factorization.

21002200303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186189789 (or 186189776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21002200303200 its reverse (230300220012), we get a palindrome (21232500523212).

The spelling of 21002200303200 in words is "twenty-one trillion, two billion, two hundred million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 75 80 94 96 100 120 141 150 160 188 200 235 240 282 300 376 400 470 480 564 600 705 752 800 940 1128 1175 1200 1410 1504 1880 2256 2350 2400 2820 3525 3760 4512 4700 5640 7050 7520 9400 11280 14100 18800 22560 28200 37600 56400 112800 186189719 372379438 558569157 744758876 930948595 1117138314 1489517752 1861897190 2234276628 2792845785 2979035504 3723794380 4468553256 4654742975 5585691570 5958071008 7447588760 8750916793 8937106512 9309485950 11171383140 13964228925 14895177520 17501833586 17874213024 18618971900 22342766280 26252750379 27928457850 29790355040 35003667172 37237943800 43754583965 44685532560 52505500758 55856915700 70007334344 74475887600 87509167930 89371065120 105011001516 111713831400 131263751895 140014668688 148951775200 175018335860 210022003032 218772919825 223427662800 262527503790 280029337376 350036671720 420044006064 437545839650 446855325600 525055007580 656318759475 700073343440 840088012128 875091679300 1050110015160 1312637518950 1400146686880 1750183358600 2100220030320 2625275037900 3500366717200 4200440060640 5250550075800 7000733434400 10501100151600 21002200303200