Search a number
-
+
120102100200 = 23325289749701
BaseRepresentation
bin110111111011010100…
…1001001110011101000
3102111000010021211122100
41233312221021303220
53431432114201300
6131101340453400
711451146002425
oct1576651116350
9374003254570
10120102100200
1146a31560555
121b339b4a260
13b4303b4aa4
145b54b22d4c
1531cde22700
hex1bf6a49ce8

120102100200 has 144 divisors (see below), whose sum is σ = 407875373100. Its totient is φ = 31667328000.

The previous prime is 120102100169. The next prime is 120102100241. The reversal of 120102100200 is 2001201021.

It can be written as a sum of positive squares in 6 ways, for example, as 46627492356 + 73474607844 = 215934^2 + 271062^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214651 + ... + 535050.

Almost surely, 2120102100200 is an apocalyptic number.

120102100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102100200 is an abundant number, since it is smaller than the sum of its proper divisors (287773272900).

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

120102100200 is a wasteful number, since it uses less digits than its factorization.

120102100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749812 (or 749800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120102100200 its reverse (2001201021), we get a palindrome (122103301221).

The spelling of 120102100200 in words is "one hundred twenty billion, one hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 150 178 180 200 225 267 300 356 360 445 450 534 600 712 801 890 900 1068 1335 1602 1780 1800 2136 2225 2670 3204 3560 4005 4450 5340 6408 6675 8010 8900 10680 13350 16020 17800 20025 26700 32040 40050 53400 80100 160200 749701 1499402 2249103 2998804 3748505 4498206 5997608 6747309 7497010 8996412 11245515 13494618 14994020 17992824 18742525 22491030 26989236 29988040 33736545 37485050 44982060 53978472 56227575 66723389 67473090 74970100 89964120 112455150 133446778 134946180 149940200 168682725 200170167 224910300 266893556 269892360 333616945 337365450 400340334 449820600 533787112 600510501 667233890 674730900 800680668 1000850835 1201021002 1334467780 1349461800 1601361336 1668084725 2001701670 2402042004 2668935560 3002552505 3336169450 4003403340 4804084008 5004254175 6005105010 6672338900 8006806680 10008508350 12010210020 13344677800 15012762525 20017016700 24020420040 30025525050 40034033400 60051050100 120102100200