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200002111120 = 24573474332377
BaseRepresentation
bin1011101001000100001…
…1100000011010010000
3201010020111020221102001
42322101003200122100
511234101020023440
6231514003203344
720310144615610
oct2722103403220
9633214227361
10200002111120
1177902a83329
1232918376554
1315b248ab066
1499744b0a40
15530873eb9a
hex2e910e0690

200002111120 has 160 divisors (see below), whose sum is σ = 534421294848. Its totient is φ = 68187930624.

The previous prime is 200002111097. The next prime is 200002111187. The reversal of 200002111120 is 21111200002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200002111097 and 200002111106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84139372 + ... + 84141748.

Almost surely, 2200002111120 is an apocalyptic number.

200002111120 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 200002111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267210647424).

200002111120 is an abundant number, since it is smaller than the sum of its proper divisors (334419183728).

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

200002111120 is a wasteful number, since it uses less digits than its factorization.

200002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200002111120 its reverse (21111200002), we get a palindrome (221113311122).

The spelling of 200002111120 in words is "two hundred billion, two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 347 433 560 694 866 1388 1732 1735 2165 2377 2429 2776 3031 3464 3470 4330 4754 4858 5552 6062 6928 6940 8660 9508 9716 11885 12124 12145 13880 15155 16639 17320 19016 19432 23770 24248 24290 27760 30310 33278 34640 38032 38864 47540 48496 48580 60620 66556 83195 95080 97160 121240 133112 150251 166390 190160 194320 242480 266224 300502 332780 601004 665560 751255 824819 1029241 1051757 1202008 1331120 1502510 1649638 2058482 2103514 2404016 3005020 3299276 4116964 4124095 4207028 5146205 5258785 5773733 6010040 6598552 7204687 8233928 8248190 8414056 10292410 10517570 11547466 12020080 13197104 14409374 16467856 16496380 16828112 20584820 21035140 23094932 28818748 28868665 32992760 36023435 41169640 42070280 46189864 57637496 57737330 65985520 72046870 82339280 84140560 92379728 115274992 115474660 144093740 230949320 288187480 357146627 461898640 576374960 714293254 1428586508 1785733135 2500026389 2857173016 3571466270 5000052778 5714346032 7142932540 10000105556 12500131945 14285865080 20000211112 25000263890 28571730160 40000422224 50000527780 100001055560 200002111120