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1000220012220 = 22351113116575759
BaseRepresentation
bin11101000111000011100…
…00100010111010111100
310112121202001102012111210
432203201300202322330
5112341422310342340
62043254510044420
7132156245553042
oct16434160427274
93477661365453
101000220012220
11356211137380
12141a237a9710
1373421a3b9a0
14365a7758392
151b040c25180
hexe8e1c22ebc

1000220012220 has 96 divisors (see below), whose sum is σ = 3290234250240. Its totient is φ = 223825455360.

The previous prime is 1000220012201. The next prime is 1000220012249. The reversal of 1000220012220 is 222100220001.

1000220012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1000220012196 and 1000220012205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58279300 + ... + 58296459.

It is an arithmetic number, because the mean of its divisors is an integer number (34273273440).

Almost surely, 21000220012220 is an apocalyptic number.

1000220012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000220012220 is an abundant number, since it is smaller than the sum of its proper divisors (2290014238020).

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

1000220012220 is a wasteful number, since it uses less digits than its factorization.

1000220012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116575795 (or 116575793 counting only the distinct ones).

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

Adding to 1000220012220 its reverse (222100220001), we get a palindrome (1222320232221).

The spelling of 1000220012220 in words is "one trillion, two hundred twenty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 116575759 233151518 349727277 466303036 582878795 699454554 1165757590 1282333349 1398909108 1515484867 1748636385 2331515180 2564666698 3030969734 3497272770 3847000047 4546454601 5129333396 6061939468 6411666745 6994545540 7577424335 7694000094 9092909202 12823333490 15154848670 15388000188 16670333537 18185818404 19235000235 22732273005 25646666980 30309697340 33340667074 38470000470 45464546010 50011000611 66681334148 76940000940 83351667685 90929092020 100022001222 166703335370 200044002444 250055003055 333406670740 500110006110 1000220012220