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1012222102220 = 2257197317115777
BaseRepresentation
bin11101011101011010010…
…00111000101011001100
310120202201111110112210122
432232231020320223030
5113041012324232340
62053001452324112
7133062543623060
oct16565510705314
93522644415718
101012222102220
1136030aa9621a
12144213173638
13745b54558a4
1436dc575baa0
151b4e4759db5
hexebad238acc

1012222102220 has 96 divisors (see below), whose sum is σ = 2449388253312. Its totient is φ = 344193712128.

The previous prime is 1012222102207. The next prime is 1012222102223. The reversal of 1012222102220 is 222012222101.

It is a happy number.

It is a super-2 number, since 2×10122221022202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012222102223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8684972 + ... + 8800748.

It is an arithmetic number, because the mean of its divisors is an integer number (25514460972).

Almost surely, 21012222102220 is an apocalyptic number.

1012222102220 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 1012222102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224694126656).

1012222102220 is an abundant number, since it is smaller than the sum of its proper divisors (1437166151092).

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

1012222102220 is a wasteful number, since it uses less digits than its factorization.

1012222102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116307 (or 116305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1012222102220 its reverse (222012222101), we get a palindrome (1234234324321).

The spelling of 1012222102220 in words is "one trillion, twelve billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 317 394 634 788 985 1268 1379 1585 1970 2219 2758 3170 3940 4438 5516 6340 6895 8876 11095 13790 22190 27580 44380 62449 115777 124898 231554 249796 312245 437143 463108 578885 624490 810439 874286 1157770 1248980 1620878 1748572 2185715 2315540 3241756 4052195 4371430 8104390 8742860 16208780 22808069 36701309 45616138 73402618 91232276 114040345 146805236 159656483 183506545 228080690 256909163 319312966 367013090 456161380 513818326 638625932 734026180 798282415 1027636652 1284545815 1596564830 2569091630 3193129660 5138183260 7230157873 14460315746 28920631492 36150789365 50611105111 72301578730 101222210222 144603157460 202444420444 253055525555 506111051110 1012222102220