Search a number
-
+
201231300120300 = 2232521092051287463
BaseRepresentation
bin101101110000010011010000…
…001010010100111011101100
3222101111112011022001000200200
4231300103100022110323230
5202333433200312322200
61551552214424153500
760246324131540562
oct5560232012247354
9871445138030620
10201231300120300
115913379591305a
121a69bb83308890
1388390513b9618
14379990b109a32
15183e74bab9800
hexb704d0294eec

201231300120300 has 108 divisors (see below), whose sum is σ = 636535012953840. Its totient is φ = 53169371015040.

The previous prime is 201231300120289. The next prime is 201231300120307. The reversal of 201231300120300 is 3021003132102.

201231300120300 is a `hidden beast` number, since 2 + 0 + 12 + 31 + 300 + 1 + 20 + 300 = 666.

It is a super-2 number, since 2×2012313001203002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201231300120307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1025545632 + ... + 1025741831.

Almost surely, 2201231300120300 is an apocalyptic number.

201231300120300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201231300120300 is an abundant number, since it is smaller than the sum of its proper divisors (435303712833540).

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

201231300120300 is a wasteful number, since it uses less digits than its factorization.

201231300120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051287592 (or 2051287582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201231300120300 its reverse (3021003132102), we get a palindrome (204252303252402).

The spelling of 201231300120300 in words is "two hundred one trillion, two hundred thirty-one billion, three hundred million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3924 4905 5450 6540 8175 9810 10900 16350 19620 24525 32700 49050 98100 2051287463 4102574926 6153862389 8205149852 10256437315 12307724778 18461587167 20512874630 24615449556 30769311945 36923174334 41025749260 51282186575 61538623890 73846348668 92307935835 102564373150 123077247780 153846559725 184615871670 205128746300 223590333467 307693119450 369231743340 447180666934 461539679175 615386238900 670771000401 894361333868 923079358350 1117951667335 1341542000802 1846158716700 2012313001203 2235903334670 2683084001604 3353855002005 4024626002406 4471806669340 5589758336675 6707710004010 8049252004812 10061565006015 11179516673350 13415420008020 16769275010025 20123130012030 22359033346700 33538550020050 40246260024060 50307825030075 67077100040100 100615650060150 201231300120300