Search a number
-
+
201213001003300 = 2252111379178111889
BaseRepresentation
bin101101110000000010001101…
…011100101111000100100100
3222101102202221000000120021121
4231300002031130233010210
5202333133211224101200
61551535550534423324
760245105511604336
oct5560021534570444
9871382830016247
10201213001003300
1159126a554aa670
121a698516b01b44
1388373c620a140
143798a92a99456
15183e02a328e1a
hexb7008d72f124

201213001003300 has 144 divisors (see below), whose sum is σ = 519459764947200. Its totient is φ = 66685090867200.

The previous prime is 201213001003297. The next prime is 201213001003303. The reversal of 201213001003300 is 3300100312102.

It is an interprime number because it is at equal distance from previous prime (201213001003297) and next prime (201213001003303).

It is a super-2 number, since 2×2012130010033002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201213001003303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87926245 + ... + 90185644.

It is an arithmetic number, because the mean of its divisors is an integer number (3607359478800).

Almost surely, 2201213001003300 is an apocalyptic number.

201213001003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213001003300 is an abundant number, since it is smaller than the sum of its proper divisors (318246763943900).

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

201213001003300 is a wasteful number, since it uses less digits than its factorization.

201213001003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178112006 (or 178111999 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 201213001003300 its reverse (3300100312102), we get a palindrome (204513101315402).

The spelling of 201213001003300 in words is "two hundred one trillion, two hundred thirteen billion, one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 79 100 110 130 143 158 220 260 275 286 316 325 395 550 572 650 715 790 869 1027 1100 1300 1430 1580 1738 1975 2054 2860 3476 3575 3950 4108 4345 5135 7150 7900 8690 10270 11297 14300 17380 20540 21725 22594 25675 43450 45188 51350 56485 86900 102700 112970 225940 282425 564850 1129700 178111889 356223778 712447556 890559445 1781118890 1959230779 2315454557 3562237780 3918461558 4452797225 4630909114 7836923116 8905594450 9261818228 9796153895 11577272785 14070839231 17811188900 19592307790 23154545570 25470000127 28141678462 39184615580 46309091140 48980769475 50940000254 56283356924 57886363925 70354196155 97961538950 101880000508 115772727850 127350000635 140708392310 154779231541 182920910003 195923077900 231545455700 254700001270 281416784620 309558463082 351770980775 365841820006 509400002540 619116926164 636750003175 703541961550 731683640012 773896157705 914604550015 1273500006350 1407083923100 1547792315410 1829209100030 2012130010033 2547000012700 3095584630820 3658418200060 3869480788525 4024260020066 4573022750075 7738961577050 8048520040132 9146045500150 10060650050165 15477923154100 18292091000300 20121300100330 40242600200660 50303250250825 100606500501650 201213001003300