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2000210211120 = 2435113533214451
BaseRepresentation
bin11101000110110101110…
…100011011000100110000
321002012220002101200102010
4131012311310123010300
5230232412303223440
64130514530322520
7264340034161332
oct35066564330460
97065802350363
102000210211120
11701314578590
122837a2429440
13116807c85354
146cb4c76d452
153706b6a2580
hex1d1b5d1b130

2000210211120 has 160 divisors (see below), whose sum is σ = 6766293429504. Its totient is φ = 484759936000.

The previous prime is 2000210211113. The next prime is 2000210211161. The reversal of 2000210211120 is 211120120002.

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 = 2000210211096 and 2000210211105.

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, 9219895 + ... + 9434345.

Almost surely, 22000210211120 is an apocalyptic number.

2000210211120 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 2000210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383146714752).

2000210211120 is an abundant number, since it is smaller than the sum of its proper divisors (4766083218384).

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

2000210211120 is a wasteful number, since it uses less digits than its factorization.

2000210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218011 (or 218005 counting only the distinct ones).

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

Adding to 2000210211120 its reverse (211120120002), we get a palindrome (2211330331122).

The spelling of 2000210211120 in words is "two trillion, two hundred ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3533 7066 10599 14132 17665 21198 28264 35330 38863 42396 52995 56528 70660 77726 84792 105990 116589 141320 155452 169584 194315 211980 214451 233178 282640 310904 388630 423960 428902 466356 582945 621808 643353 777260 847920 857804 932712 1072255 1165890 1286706 1554520 1715608 1865424 2144510 2331780 2358961 2573412 3109040 3216765 3431216 4289020 4663560 4717922 5146824 6433530 7076883 8578040 9327120 9435844 10293648 11794805 12867060 14153766 17156080 18871688 23589610 25734120 28307532 35384415 37743376 47179220 51468240 56615064 70768830 94358440 113230128 141537660 188716880 283075320 566150640 757655383 1515310766 2272966149 3030621532 3788276915 4545932298 6061243064 7576553830 8334209213 9091864596 11364830745 12122486128 15153107660 16668418426 18183729192 22729661490 25002627639 30306215320 33336836852 36367458384 41671046065 45459322980 50005255278 60612430640 66673673704 83342092130 90918645960 100010510556 125013138195 133347347408 166684184260 181837291920 200021021112 250026276390 333368368520 400042042224 500052552780 666736737040 1000105105560 2000210211120