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1000222012020 = 2235711219681661
BaseRepresentation
bin11101000111000011110…
…00001011001001110100
310112121202012011210201110
432203201320023021310
5112341423313341040
62043255020555020
7132156301552260
oct16434170131164
93477665153643
101000222012020
11356212282900
12141a243b2a70
137342228bcba
14365a7b190a0
151b040ebc980
hexe8e1e0b274

1000222012020 has 144 divisors (see below), whose sum is σ = 3518136445824. Its totient is φ = 207838329600.

The previous prime is 1000222012019. The next prime is 1000222012079. The reversal of 1000222012020 is 202102220001.

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 = 1000222011987 and 1000222012005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9790011 + ... + 9891650.

It is an arithmetic number, because the mean of its divisors is an integer number (24431503096).

Almost surely, 21000222012020 is an apocalyptic number.

1000222012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000222012020 is an abundant number, since it is smaller than the sum of its proper divisors (2517914433804).

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

1000222012020 is a wasteful number, since it uses less digits than its factorization.

1000222012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19681702 (or 19681689 counting only the distinct ones).

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

Adding to 1000222012020 its reverse (202102220001), we get a palindrome (1202324232021).

It can be divided in two parts, 10002 and 22012020, that added together give a palindrome (22022022).

The spelling of 1000222012020 in words is "one trillion, two hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 3388 3630 4235 4620 5082 7260 8470 10164 12705 16940 25410 50820 19681661 39363322 59044983 78726644 98408305 118089966 137771627 196816610 216498271 236179932 275543254 295224915 393633220 413314881 432996542 551086508 590449830 649494813 688858135 826629762 865993084 1082491355 1180899660 1298989626 1377716270 1515487897 1653259524 2066574405 2164982710 2381480981 2597979252 2755432540 3030975794 3247474065 4133148810 4329965420 4546463691 4762961962 6061951588 6494948130 7144442943 7577439485 8266297620 9092927382 9525923924 11907404905 12989896260 14288885886 15154878970 16670366867 18185854764 22732318455 23814809810 28577771772 30309757940 33340733734 35722214715 45464636910 47629619620 50011100601 66681467468 71444429430 83351834335 90929273820 100022201202 142888858860 166703668670 200044402404 250055503005 333407337340 500111006010 1000222012020