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200212020101100 = 223527213619865313
BaseRepresentation
bin101101100001011101111110…
…010101100111111111101100
3222020220002012220212010221110
4231201131332111213333230
5202220233204121213400
61545452044324032020
760112561333405200
oct5541357625477754
9866802186763843
10200212020101100
11588804939153a7
121a556520532610
138793bb295ccc7
143762456276b00
151822e92904e50
hexb6177e567fec

200212020101100 has 108 divisors (see below), whose sum is σ = 673856456275464. Its totient is φ = 45762747448320.

The previous prime is 200212020101083. The next prime is 200212020101113. The reversal of 200212020101100 is 1101020212002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6809917957 + ... + 6809947356.

Almost surely, 2200212020101100 is an apocalyptic number.

200212020101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212020101100 is an abundant number, since it is smaller than the sum of its proper divisors (473644436174364).

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

200212020101100 is a wasteful number, since it uses less digits than its factorization.

200212020101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619865344 (or 13619865330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200212020101100 its reverse (1101020212002), we get a palindrome (201313040313102).

The spelling of 200212020101100 in words is "two hundred trillion, two hundred twelve billion, twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 13619865313 27239730626 40859595939 54479461252 68099326565 81719191878 95339057191 136198653130 163438383756 190678114382 204297979695 272397306260 286017171573 340496632825 381356228764 408595959390 476695285955 572034343146 667373400337 680993265650 817191918780 953390571910 1021489898475 1144068686292 1334746800674 1361986531300 1430085857865 1906781143820 2002120201011 2042979796950 2383476429775 2669493601348 2860171715730 3336867001685 4004240402022 4085959593900 4766952859550 5720343431460 6673734003370 7150429289325 8008480804044 9533905719100 10010601005055 13347468006740 14300858578650 16684335008425 20021202010110 28601717157300 33368670016850 40042404020220 50053005025275 66737340033700 100106010050550 200212020101100