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10213022102220 = 223557300206411
BaseRepresentation
bin1001010010011110011110…
…0011011111001011001100
31100011100121001220021100000
42110213213203133023030
52314312232124232340
633415444140004300
72102603131342020
oct224474743371314
940140531807300
1010213022102220
1132883557a6373
12118b428530690
135911122b7612
14274454890380
1512a9e6732d30
hex949e78df2cc

10213022102220 has 144 divisors (see below), whose sum is σ = 36716445013248. Its totient is φ = 2334405044160.

The previous prime is 10213022102183. The next prime is 10213022102251. The reversal of 10213022102220 is 2220122031201.

10213022102220 is a `hidden beast` number, since 10 + 213 + 0 + 221 + 0 + 2 + 220 = 666.

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 = 10213022102193 and 10213022102202.

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, 150069186 + ... + 150137225.

It is an arithmetic number, because the mean of its divisors is an integer number (254975312592).

Almost surely, 210213022102220 is an apocalyptic number.

10213022102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213022102220 is an abundant number, since it is smaller than the sum of its proper divisors (26503422911028).

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

10213022102220 is a wasteful number, since it uses less digits than its factorization.

10213022102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300206442 (or 300206428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10213022102220 its reverse (2220122031201), we get a palindrome (12433144133421).

The spelling of 10213022102220 in words is "ten trillion, two hundred thirteen billion, twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 300206411 600412822 900619233 1200825644 1501032055 1801238466 2101444877 2701857699 3002064110 3602476932 4202889754 4503096165 5403715398 6004128220 6304334631 8105573097 8405779508 9006192330 10507224385 10807430796 12608669262 13509288495 16211146194 18012384660 18913003893 21014448770 24316719291 25217338524 27018576990 31521673155 32422292388 37826007786 40527865485 42028897540 48633438582 54037153980 56739011679 63043346310 72950157873 75652015572 81055730970 94565019465 97266877164 113478023358 121583596455 126086692620 145900315746 162111461940 170217035037 189130038930 226956046716 243167192910 283695058395 291800631492 340434070074 364750789365 378260077860 486334385820 510651105111 567390116790 680868140148 729501578730 851085175185 1021302210222 1134780233580 1459003157460 1702170350370 2042604420444 2553255525555 3404340700740 5106511051110 10213022102220