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21011230013220 = 223251737657182341
BaseRepresentation
bin1001100011100000011101…
…11001101011011100100100
32202101122122202010201012100
410301300032321223130210
510223221444340410340
6112404231550452100
74266003603223146
oct461601671533444
982348582121170
1021011230013220
1167708a3643097
12243414a504030
13b9547303c1c5
14528d3dd2ac96
1526683c473830
hex131c0ee6b724

21011230013220 has 144 divisors (see below), whose sum is σ = 67485289133808. Its totient is φ = 5273237790720.

The previous prime is 21011230013197. The next prime is 21011230013239. The reversal of 21011230013220 is 2231003211012.

21011230013220 is a `hidden beast` number, since 21 + 0 + 112 + 300 + 13 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61440528384 + 20949789484836 = 247872^2 + 4577094^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21011230013193 and 21011230013202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115139250 + ... + 115321590.

It is an arithmetic number, because the mean of its divisors is an integer number (468647841207).

Almost surely, 221011230013220 is an apocalyptic number.

21011230013220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011230013220 is an abundant number, since it is smaller than the sum of its proper divisors (46474059120588).

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

21011230013220 is a wasteful number, since it uses less digits than its factorization.

21011230013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220030 (or 220025 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21011230013220 its reverse (2231003211012), we get a palindrome (23242233224232).

The spelling of 21011230013220 in words is "twenty-one trillion, eleven billion, two hundred thirty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 37657 75314 112971 150628 182341 188285 225942 338913 364682 376570 451884 547023 564855 640169 677826 729364 753140 911705 1094046 1129710 1280338 1355652 1641069 1694565 1823410 1920507 2188092 2259420 2560676 2735115 3099797 3200845 3282138 3389130 3646820 3841014 5470230 5761521 6199594 6401690 6564276 6778260 7682028 8205345 9299391 9602535 10940460 11523042 12399188 12803380 15498985 16410690 18598782 19205070 23046084 27898173 28807605 30997970 32821380 37197564 38410140 46496955 55796346 57615210 61995940 92993910 111592692 115230420 139490865 185987820 278981730 557963460 6866415037 13732830074 20599245111 27465660148 34332075185 41198490222 61797735333 68664150370 82396980444 102996225555 116729055629 123595470666 137328300740 205992451110 233458111258 247190941332 308988676665 350187166887 411984902220 466916222516 583645278145 617977353330 700374333774 1050561500661 1167290556290 1235954706660 1400748667548 1750935834435 2101123001322 2334581112580 3501871668870 4202246002644 5252807503305 7003743337740 10505615006610 21011230013220