Search a number
-
+
200011001002120 = 235711607106982927
BaseRepresentation
bin101101011110100010110000…
…101010100111100010001000
3222020011212100112221212110101
4231132202300222213202020
5202203440012224031440
61545215441351055144
760062214026303140
oct5536426052474210
9866155315855411
10200011001002120
1158803209876040
121a52357b6714b4
13877ac584776a9
143756826ab5920
15181cb29c7a69a
hexb5e8b0aa7888

200011001002120 has 128 divisors (see below), whose sum is σ = 561994158735360. Its totient is φ = 62238387029760.

The previous prime is 200011001002103. The next prime is 200011001002129. The reversal of 200011001002120 is 21200100110002.

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 = 200011001002097 and 200011001002106.

It is not an unprimeable number, because it can be changed into a prime (200011001002129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51621904 + ... + 55361023.

It is an arithmetic number, because the mean of its divisors is an integer number (4390579365120).

Almost surely, 2200011001002120 is an apocalyptic number.

200011001002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011001002120 is an abundant number, since it is smaller than the sum of its proper divisors (361983157733240).

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

200011001002120 is a wasteful number, since it uses less digits than its factorization.

200011001002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106983563 (or 106983559 counting only the distinct ones).

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

Adding to 200011001002120 its reverse (21200100110002), we get a palindrome (221211101112122).

The spelling of 200011001002120 in words is "two hundred trillion, eleven billion, one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 607 616 770 1214 1540 2428 3035 3080 4249 4856 6070 6677 8498 12140 13354 16996 21245 24280 26708 33385 33992 42490 46739 53416 66770 84980 93478 133540 169960 186956 233695 267080 373912 467390 934780 1869560 106982927 213965854 427931708 534914635 748880489 855863416 1069829270 1176812197 1497760978 2139658540 2353624394 2995521956 3744402445 4279317080 4707248788 5884060985 5991043912 7488804890 8237685379 9414497576 11768121970 14977609780 16475370758 23536243940 29955219560 32950741516 41188426895 47072487880 64938636689 65901483032 82376853790 129877273378 164753707580 259754546756 324693183445 329507415160 454570456823 519509093512 649386366890 714325003579 909140913646 1298772733780 1428650007158 1818281827292 2272852284115 2597545467560 2857300014316 3571625017895 3636563654584 4545704568230 5000275025053 5714600028632 7143250035790 9091409136460 10000550050106 14286500071580 18182818272920 20001100100212 25001375125265 28573000143160 40002200200424 50002750250530 100005500501060 200011001002120