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202013111100 = 2235247110912919
BaseRepresentation
bin1011110000100011101…
…0110111001100111100
3201022102122022022202210
42330020322313030330
511302210324023400
6232445322020420
720411034053403
oct2741072671474
9638378268683
10202013111100
1178745153389
1233199947710
1316085407188
149ac55d063a
1553c5076950
hex2f08eb733c

202013111100 has 144 divisors (see below), whose sum is σ = 597511756800. Its totient is φ = 52672369920.

The previous prime is 202013111071. The next prime is 202013111137. The reversal of 202013111100 is 1111310202.

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

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, 15630441 + ... + 15643359.

It is an arithmetic number, because the mean of its divisors is an integer number (4149387200).

Almost surely, 2202013111100 is an apocalyptic number.

202013111100 is a gapful number since it is divisible by the number (20) 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 202013111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298755878400).

202013111100 is an abundant number, since it is smaller than the sum of its proper divisors (395498645700).

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

202013111100 is a wasteful number, since it uses less digits than its factorization.

202013111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14085 counting only the distinct ones).

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

Adding to 202013111100 its reverse (1111310202), we get a palindrome (203124421302).

The spelling of 202013111100 in words is "two hundred two billion, thirteen million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1109 1175 1410 2218 2350 2820 3327 3525 4436 4700 5545 6654 7050 11090 12919 13308 14100 16635 22180 25838 27725 33270 38757 51676 52123 55450 64595 66540 77514 83175 104246 110900 129190 155028 156369 166350 193785 208492 258380 260615 312738 322975 332700 387570 521230 607193 625476 645950 775140 781845 968925 1042460 1214386 1291900 1303075 1563690 1821579 1937850 2428772 2606150 3035965 3127380 3643158 3875700 3909225 5212300 6071930 7286316 7818450 9107895 12143860 14327171 15179825 15636900 18215790 28654342 30359650 36431580 42981513 45539475 57308684 60719300 71635855 85963026 91078950 143271710 171926052 182157900 214907565 286543420 358179275 429815130 673377037 716358550 859630260 1074537825 1346754074 1432717100 2020131111 2149075650 2693508148 3366885185 4040262222 4298151300 6733770370 8080524444 10100655555 13467540740 16834425925 20201311110 33668851850 40402622220 50503277775 67337703700 101006555550 202013111100