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212303220100200 = 2332521011167784489
BaseRepresentation
bin110000010001011010110010…
…000001001100110001101000
31000211200222201102211020011100
4300101122302001030301220
5210311333443321201300
62031310430342401400
762501254464550005
oct6021326201146150
91024628642736140
10212303220100200
1161712321016389
121b989952a30260
139160152965aa8
143a5d7602828ac
1519827621dc700
hexc116b204cc68

212303220100200 has 144 divisors (see below), whose sum is σ = 720044238689100. Its totient is φ = 56053655424000.

The previous prime is 212303220100171. The next prime is 212303220100247. The reversal of 212303220100200 is 2001022303212.

212303220100200 is a `hidden beast` number, since 2 + 1 + 230 + 3 + 220 + 10 + 0 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 194416563035556 + 17886657064644 = 13943334^2 + 4229262^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 583710445 + ... + 584074044.

Almost surely, 2212303220100200 is an apocalyptic number.

212303220100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212303220100200 is an abundant number, since it is smaller than the sum of its proper divisors (507741018588900).

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

212303220100200 is a wasteful number, since it uses less digits than its factorization.

212303220100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167784612 (or 1167784600 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212303220100200 its reverse (2001022303212), we get a palindrome (214304242403412).

The spelling of 212303220100200 in words is "two hundred twelve trillion, three hundred three billion, two hundred twenty 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 90 100 101 120 150 180 200 202 225 300 303 360 404 450 505 600 606 808 900 909 1010 1212 1515 1800 1818 2020 2424 2525 3030 3636 4040 4545 5050 6060 7272 7575 9090 10100 12120 15150 18180 20200 22725 30300 36360 45450 60600 90900 181800 1167784489 2335568978 3503353467 4671137956 5838922445 7006706934 9342275912 10510060401 11677844890 14013413868 17516767335 21020120802 23355689780 28026827736 29194612225 35033534670 42040241604 46711379560 52550302005 58389224450 70067069340 84080483208 87583836675 105100604010 116778448900 117946233389 140134138680 175167673350 210201208020 233556897800 235892466778 262751510025 350335346700 353838700167 420402416040 471784933556 525503020050 589731166945 700670693400 707677400334 943569867112 1051006040100 1061516100501 1179462333890 1415354800668 1769193500835 2102012080200 2123032201002 2358924667780 2830709601336 2948655834725 3538387001670 4246064402004 4717849335560 5307580502505 5897311669450 7076774003340 8492128804008 8845967504175 10615161005010 11794623338900 14153548006680 17691935008350 21230322010020 23589246677800 26537902512525 35383870016700 42460644020040 53075805025050 70767740033400 106151610050100 212303220100200