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200011110102120 = 233582115329132439
BaseRepresentation
bin101101011110100010110111…
…001010110011010001101000
3222020011212122011020201112010
4231132202313022303101220
5202203440223141231440
61545215500245315520
760062216522526012
oct5536426712632150
9866155564221463
10200011110102120
1158803265412529
121a5235b0105ba0
13877ac74c561c5
1437568373951b2
15181cb3462b580
hexb5e8b72b3468

200011110102120 has 128 divisors (see below), whose sum is σ = 600807914784000. Its totient is φ = 53267453583360.

The previous prime is 200011110102119. The next prime is 200011110102151. The reversal of 200011110102120 is 21201011110002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200011110102096 and 200011110102105.

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, 1510146861 + ... + 1510279299.

It is an arithmetic number, because the mean of its divisors is an integer number (4693811834250).

Almost surely, 2200011110102120 is an apocalyptic number.

200011110102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011110102120 is an abundant number, since it is smaller than the sum of its proper divisors (400796804681880).

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

200011110102120 is a wasteful number, since it uses less digits than its factorization.

200011110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148603 (or 148599 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200011110102120 its reverse (21201011110002), we get a palindrome (221212121212122).

The spelling of 200011110102120 in words is "two hundred trillion, eleven billion, one hundred ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 821 1642 2463 3284 4105 4926 6568 8210 9852 12315 15329 16420 19704 24630 30658 32840 45987 49260 61316 76645 91974 98520 122632 132439 153290 183948 229935 264878 306580 367896 397317 459870 529756 613160 662195 794634 919740 1059512 1324390 1589268 1839480 1986585 2648780 3178536 3973170 5297560 7946340 12585109 15892680 25170218 37755327 50340436 62925545 75510654 100680872 108732419 125851090 151021308 188776635 217464838 251702180 302042616 326197257 377553270 434929676 503404360 543662095 652394514 755106540 869859352 1087324190 1304789028 1510213080 1630986285 2030157431 2174648380 2609578056 3261972570 4060314862 4349296760 6090472293 6523945140 8120629724 10150787155 12180944586 13047890280 16241259448 20301574310 24361889172 30452361465 40603148620 48723778344 60904722930 81206297240 121809445860 243618891720 1666759250851 3333518501702 5000277752553 6667037003404 8333796254255 10000555505106 13334074006808 16667592508510 20001111010212 25001388762765 33335185017020 40002222020424 50002777525530 66670370034040 100005555051060 200011110102120