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200112011002120 = 23572821124358057
BaseRepresentation
bin101101100000000000110101…
…010101001100000100001000
3222020112112002010002112020111
4231200000311111030010020
5202212113344304031440
61545334104434004104
760102421116162100
oct5540006525140410
9866475063075214
10200112011002120
1158842033335088
121a53b06b716634
1387876352b5b69
14375b689d28200
15182058c9be4ea
hexb6003554c108

200112011002120 has 96 divisors (see below), whose sum is σ = 524400520457880. Its totient is φ = 68526263178240.

The previous prime is 200112011002117. The next prime is 200112011002133. The reversal of 200112011002120 is 21200110211002.

200112011002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 172629274211716 + 27482736790404 = 13138846^2 + 5242398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200112011002120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60569869 + ... + 63788188.

Almost surely, 2200112011002120 is an apocalyptic number.

200112011002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200112011002120 is an abundant number, since it is smaller than the sum of its proper divisors (324288509455760).

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

200112011002120 is a wasteful number, since it uses less digits than its factorization.

200112011002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124358903 (or 124358892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200112011002120 its reverse (21200110211002), we get a palindrome (221312121213122).

The spelling of 200112011002120 in words is "two hundred trillion, one hundred twelve billion, eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 821 980 1642 1960 3284 4105 5747 6568 8210 11494 16420 22988 28735 32840 40229 45976 57470 80458 114940 160916 201145 229880 321832 402290 804580 1609160 124358057 248716114 497432228 621790285 870506399 994864456 1243580570 1741012798 2487161140 3482025596 4352531995 4974322280 6093544793 6964051192 8705063990 12187089586 17410127980 24374179172 30467723965 34820255960 48748358344 60935447930 102097964797 121870895860 204195929594 243741791720 408391859188 510489823985 714685753579 816783718376 1020979647970 1429371507158 2041959295940 2858743014316 3573428767895 4083918591880 5002800275053 5717486028632 7146857535790 10005600550106 14293715071580 20011201100212 25014001375265 28587430143160 40022402200424 50028002750530 100056005501060 200112011002120