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10212020000220 = 22352777391115671
BaseRepresentation
bin1001010010011010101111…
…0100110001010111011100
31100011021000020021012211010
42110212223310301113130
52314303204110001340
633415200501255220
72102536242534603
oct224465364612734
940137006235733
1010212020000220
1132879910772a5
12118b1a8a04510
13590cb27c275c
1427439b756a3a
1512a988788b80
hex949abd315dc

10212020000220 has 96 divisors (see below), whose sum is σ = 28613092064256. Its totient is φ = 2721354995200.

The previous prime is 10212020000209. The next prime is 10212020000251. The reversal of 10212020000220 is 2200002021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10212020000196 and 10212020000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651642985 + ... + 651658655.

It is an arithmetic number, because the mean of its divisors is an integer number (298053042336).

Almost surely, 210212020000220 is an apocalyptic number.

10212020000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212020000220 is an abundant number, since it is smaller than the sum of its proper divisors (18401072064036).

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

10212020000220 is a wasteful number, since it uses less digits than its factorization.

10212020000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22371 (or 22369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10212020000220 its reverse (2200002021201), we get a palindrome (12412022021421).

The spelling of 10212020000220 in words is "ten trillion, two hundred twelve billion, twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2777 3911 5554 7822 8331 11108 11733 13885 15644 15671 16662 19555 23466 27770 31342 33324 39110 41655 46932 47013 55540 58665 62684 78220 78355 83310 94026 117330 156710 166620 188052 234660 235065 313420 470130 940260 10860847 21721694 32582541 43443388 43518367 54304235 61289281 65165082 87036734 108608470 122578562 130330164 130555101 162912705 174073468 183867843 217216940 217591835 245157124 261110202 306446405 325825410 367735686 435183670 522220404 612892810 651650820 652775505 735471372 870367340 919339215 1225785620 1305551010 1838678430 2611102020 3677356860 170200333337 340400666674 510601000011 680801333348 851001666685 1021202000022 1702003333370 2042404000044 2553005000055 3404006666740 5106010000110 10212020000220