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200120011111100 = 2252157571148115073
BaseRepresentation
bin101101100000001000010010…
…001011001011101010111100
3222020120021201122201011122002
4231200020102023023222330
5202212231240321023400
61545341510340041432
760103123301035013
oct5540102213135274
9866507648634562
10200120011111100
11588454691773a3
121a540722993278
13878830b866762
14375bc0861da7a
1518208a9edbed5
hexb602122cbabc

200120011111100 has 144 divisors (see below), whose sum is σ = 438116454231456. Its totient is φ = 79339972608000.

The previous prime is 200120011111099. The next prime is 200120011111219. The reversal of 200120011111100 is 1111110021002.

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, 13276713164 + ... + 13276728236.

Almost surely, 2200120011111100 is an apocalyptic number.

200120011111100 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 200120011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219058227115728).

200120011111100 is an abundant number, since it is smaller than the sum of its proper divisors (237996443120356).

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

200120011111100 is a wasteful number, since it uses less digits than its factorization.

200120011111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17296 (or 17289 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 200120011111100 its reverse (1111110021002), we get a palindrome (201231121132102).

The spelling of 200120011111100 in words is "two hundred trillion, one hundred twenty billion, eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 571 628 785 1142 1481 1570 2284 2855 2962 3140 3925 5710 5924 7405 7850 11420 14275 14810 15073 15700 28550 29620 30146 37025 57100 60292 74050 75365 89647 148100 150730 179294 232517 301460 358588 376825 448235 465034 753650 845651 896470 930068 1162585 1507300 1691302 1792940 2241175 2325170 2366461 3382604 4228255 4482350 4650340 4732922 5812925 8456510 8606683 8964700 9465844 11625850 11832305 16913020 17213366 21141275 22323113 23251700 23664610 34426732 42282550 43033415 44646226 47329220 59161525 84565100 86066830 89292452 111615565 118323050 132767207 172133660 215167075 223231130 236646100 265534414 430334150 446462260 531068828 558077825 663836035 860668300 1116155650 1327672070 1351249231 2232311300 2655344140 2702498462 3319180175 3504728741 5404996924 6638360350 6756246155 7009457482 12746497523 13276720700 13512492310 14018914964 17523643705 25492995046 27024984620 33781230775 35047287410 50985990092 63732487615 67562461550 70094574820 87618218525 127464975230 135124923100 175236437050 254929950460 318662438075 350472874100 637324876150 1274649752300 2001200111111 4002400222222 8004800444444 10006000555555 20012001111110 40024002222220 50030002777775 100060005555550 200120011111100