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1022111201010 = 2354718122917489
BaseRepresentation
bin11101101111110101001…
…00110011011011110010
310121201020200112211001210
432313322210303123302
5113221240431413020
62101315034140550
7133562603600634
oct16677244633362
93551220484053
101022111201010
11364525143539
12146112b81756
1375500183733
1437682c92a54
151b8c2a0d3e0
hexedfa9336f2

1022111201010 has 128 divisors (see below), whose sum is σ = 2530246118400. Its totient is φ = 264116367360.

The previous prime is 1022111200987. The next prime is 1022111201029. The reversal of 1022111201010 is 101021112201.

It is a super-3 number, since 3×10221112010103 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58434346 + ... + 58451834.

It is an arithmetic number, because the mean of its divisors is an integer number (19767547800).

Almost surely, 21022111201010 is an apocalyptic number.

1022111201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022111201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265123059200).

1022111201010 is an abundant number, since it is smaller than the sum of its proper divisors (1508134917390).

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

1022111201010 is a wasteful number, since it uses less digits than its factorization.

1022111201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17956.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022111201010 its reverse (101021112201), we get a palindrome (1123132313211).

The spelling of 1022111201010 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 181 229 235 282 362 458 470 543 687 705 905 1086 1145 1374 1410 1810 2290 2715 3435 5430 6870 8507 10763 17014 17489 21526 25521 32289 34978 41449 42535 51042 52467 53815 64578 82898 85070 87445 104934 107630 124347 127605 161445 174890 207245 248694 255210 262335 322890 414490 524670 621735 821983 1243470 1643966 1948103 2465949 3165509 3896206 4004981 4109915 4931898 5844309 6331018 8009962 8219830 9496527 9740515 11688618 12014943 12329745 15827545 18993054 19481030 20024905 24029886 24659490 29221545 31655090 40049810 47482635 58443090 60074715 94965270 120149430 148778923 188234107 297557846 376468214 446336769 564702321 724901561 743894615 892673538 941170535 1129404642 1449803122 1487789230 1882341070 2174704683 2231683845 2823511605 3624507805 4349409366 4463367690 5647023210 7249015610 10873523415 21747046830 34070373367 68140746734 102211120101 170351866835 204422240202 340703733670 511055600505 1022111201010