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1001000110220 = 2251129239656471
BaseRepresentation
bin11101001000100000100…
…00011000100010001100
310112200202102022021210022
432210100100120202030
5112400022012011340
62043504134201312
7132214500356165
oct16442020304214
93480672267708
101001000110220
11356581514570
12142000ab3238
1373517543c36
143663d1c276c
151b08946a3b5
hexe91041888c

1001000110220 has 96 divisors (see below), whose sum is σ = 2382205593600. Its totient is φ = 349977286400.

The previous prime is 1001000110189. The next prime is 1001000110223. The reversal of 1001000110220 is 220110001001.

It is a junction number, because it is equal to n+sod(n) for n = 1001000110198 and 1001000110207.

It is not an unprimeable number, because it can be changed into a prime (1001000110223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196585 + ... + 1853055.

It is an arithmetic number, because the mean of its divisors is an integer number (24814641600).

Almost surely, 21001000110220 is an apocalyptic number.

1001000110220 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 1001000110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191102796800).

1001000110220 is an abundant number, since it is smaller than the sum of its proper divisors (1381205483380).

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

1001000110220 is a wasteful number, since it uses less digits than its factorization.

1001000110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656759 (or 656757 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001000110220 its reverse (220110001001), we get a palindrome (1221110111221).

The spelling of 1001000110220 in words is "one trillion, one billion, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 239 290 319 478 580 638 956 1195 1276 1595 2390 2629 3190 4780 5258 6380 6931 10516 13145 13862 26290 27724 34655 52580 69310 76241 138620 152482 304964 381205 656471 762410 1312942 1524820 2625884 3282355 6564710 7221181 13129420 14442362 19037659 28884724 36105905 38075318 72211810 76150636 95188295 144423620 156896569 190376590 209414249 313793138 380753180 418828498 627586276 784482845 837656996 1047071245 1568965690 1725862259 2094142490 3137931380 3451724518 4188284980 4550000501 6903449036 8629311295 9100001002 17258622590 18200002004 22750002505 34517245180 45500005010 50050005511 91000010020 100100011022 200200022044 250250027555 500500055110 1001000110220