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1010222202220 = 2257112149400237
BaseRepresentation
bin11101011001101011110…
…11110111110101101100
310120120120010022002202021
432230311323313311230
5113022413340432340
62052031211435524
7132662151015610
oct16546573676554
93516503262667
101010222202220
1135a484107800
12143955455ba4
1374357014bca
1436c75ccb340
151b428db6e4a
hexeb35ef7d6c

1010222202220 has 144 divisors (see below), whose sum is σ = 2682875361600. Its totient is φ = 312760419840.

The previous prime is 1010222202203. The next prime is 1010222202247. The reversal of 1010222202220 is 222022220101.

It is a junction number, because it is equal to n+sod(n) for n = 1010222202194 and 1010222202203.

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, 2323942 + ... + 2724178.

It is an arithmetic number, because the mean of its divisors is an integer number (18631078900).

Almost surely, 21010222202220 is an apocalyptic number.

1010222202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010222202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341437680800).

1010222202220 is an abundant number, since it is smaller than the sum of its proper divisors (1672653159380).

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

1010222202220 is a wasteful number, since it uses less digits than its factorization.

1010222202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400424 (or 400411 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1010222202220 its reverse (222022220101), we get a palindrome (1232244422321).

The spelling of 1010222202220 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 149 154 220 242 298 308 385 484 596 605 745 770 847 1043 1210 1490 1540 1639 1694 2086 2420 2980 3278 3388 4172 4235 5215 6556 8195 8470 10430 11473 16390 16940 18029 20860 22946 32780 36058 45892 57365 72116 90145 114730 126203 180290 229460 252406 360580 400237 504812 631015 800474 1262030 1600948 2001185 2524060 2801659 4002370 4402607 5603318 8004740 8805214 11206636 14008295 17610428 22013035 28016590 30818249 44026070 48428677 56033180 59635313 61636498 88052140 96857354 119270626 123272996 154091245 193714708 238541252 242143385 298176565 308182490 339000739 417447191 484286770 596353130 616364980 655988443 678001478 834894382 968573540 1192706260 1311976886 1356002956 1669788764 1695003695 2087235955 2623953772 3279942215 3390007390 4174471910 4591919101 6559884430 6780014780 7215872873 8348943820 9183838202 13119768860 14431745746 18367676404 22959595505 28863491492 36079364365 45919191010 50511110111 72158728730 91838382020 101022220222 144317457460 202044440444 252555550555 505111101110 1010222202220