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1022100110220 = 223575345916447
BaseRepresentation
bin11101101111110011110…
…10011111101110001100
310121201012220200100100210
432313321322133232030
5113221230112011340
62101314000322420
7133562410406160
oct16677172375614
93551186610323
101022100110220
113645199588a2
1214610b313410
13754caa9c537
1437681606ca0
151b8c1a6c180
hexedf9e9fb8c

1022100110220 has 96 divisors (see below), whose sum is σ = 3332432130048. Its totient is φ = 229214898432.

The previous prime is 1022100110209. The next prime is 1022100110237. The reversal of 1022100110220 is 220110012201.

It is a super-2 number, since 2×10221001102202 (a number of 25 digits) contains 22 as substring.

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 = 1022100110196 and 1022100110205.

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, 22935964 + ... + 22980483.

It is an arithmetic number, because the mean of its divisors is an integer number (34712834688).

Almost surely, 21022100110220 is an apocalyptic number.

1022100110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100110220 is an abundant number, since it is smaller than the sum of its proper divisors (2310332019828).

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

1022100110220 is a wasteful number, since it uses less digits than its factorization.

1022100110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45916519 (or 45916517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022100110220 its reverse (220110012201), we get a palindrome (1242210122421).

The spelling of 1022100110220 in words is "one trillion, twenty-two billion, one hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 45916447 91832894 137749341 183665788 229582235 275498682 321415129 459164470 550997364 642830258 688746705 918328940 964245387 1285660516 1377493410 1607075645 1928490774 2433571691 2754986820 3214151290 3856981548 4821226935 4867143382 6428302580 7300715073 9642453870 9734286764 12167858455 14601430146 17035001837 19284907740 24335716910 29202860292 34070003674 36503575365 48671433820 51105005511 68140007348 73007150730 85175009185 102210011022 146014301460 170350018370 204420022044 255525027555 340700036740 511050055110 1022100110220