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200300133434100 = 223527293289000549
BaseRepresentation
bin101101100010110000000010…
…010011010100001011110100
3222021012111122200122020111020
4231202300002103110023310
5202223204133124342400
61550000335550341140
760122131013362650
oct5542600223241364
9867174580566436
10200300133434100
115890489a567667
121a56b6114ba7b0
13879c2b593937b
14376681477ba60
1518253ed3092a0
hexb62c024d42f4

200300133434100 has 144 divisors (see below), whose sum is σ = 685164594576000. Its totient is φ = 44204167365120.

The previous prime is 200300133434099. The next prime is 200300133434123. The reversal of 200300133434100 is 1434331003002.

It is a congruent number.

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, 1644439375 + ... + 1644561174.

Almost surely, 2200300133434100 is an apocalyptic number.

200300133434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200300133434100 is an abundant number, since it is smaller than the sum of its proper divisors (484864461141900).

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

200300133434100 is a wasteful number, since it uses less digits than its factorization.

200300133434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289000602 (or 3289000595 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 200300133434100 its reverse (1434331003002), we get a palindrome (201734464437102).

The spelling of 200300133434100 in words is "two hundred trillion, three hundred billion, one hundred thirty-three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 60900 3289000549 6578001098 9867001647 13156002196 16445002745 19734003294 23023003843 32890005490 39468006588 46046007686 49335008235 65780010980 69069011529 82225013725 92092015372 95381015921 98670016470 115115019215 138138023058 164450027450 190762031842 197340032940 230230038430 246675041175 276276046116 286143047763 328900054900 345345057645 381524063684 460460076860 476905079605 493350082350 572286095526 575575096075 667667111447 690690115290 953810159210 986700164700 1144572191052 1151150192150 1335334222894 1381380230580 1430715238815 1726725288225 1907620318420 2003001334341 2302300384300 2384525398025 2670668445788 2861430477630 3338335557235 3453450576450 4006002668682 4769050796050 5722860955260 6676671114470 6906901152900 7153576194075 8012005337364 9538101592100 10015006671705 13353342228940 14307152388150 16691677786175 20030013343410 28614304776300 33383355572350 40060026686820 50075033358525 66766711144700 100150066717050 200300133434100