Search a number
-
+
110020220010 = 23252963176673
BaseRepresentation
bin110011001110110110…
…1110101010001101010
3101111222111110021000100
41212131231311101222
53300310134020020
6122313111050230
710643255303631
oct1463555652152
9344874407010
10110020220010
1142728600768
12193a5670976
13a4b47594cc
145479b68518
152cddc8da90
hex199db7546a

110020220010 has 96 divisors (see below), whose sum is σ = 296007650640. Its totient is φ = 28318316544.

The previous prime is 110020220003. The next prime is 110020220029. The reversal of 110020220010 is 10022020011.

It can be written as a sum of positive squares in 8 ways, for example, as 20686781241 + 89333438769 = 143829^2 + 298887^2 .

It is a super-2 number, since 2×1100202200102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110020219974 and 110020220001.

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, 16484034 + ... + 16490706.

Almost surely, 2110020220010 is an apocalyptic number.

110020220010 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 110020220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148003825320).

110020220010 is an abundant number, since it is smaller than the sum of its proper divisors (185987430630).

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

110020220010 is a wasteful number, since it uses less digits than its factorization.

110020220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110020220010 its reverse (10022020011), we get a palindrome (120042240021).

The spelling of 110020220010 in words is "one hundred ten billion, twenty million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 6317 6673 12634 13346 18951 20019 31585 33365 37902 40038 56853 60057 63170 66730 94755 100095 113706 120114 183193 189510 193517 200190 284265 300285 366386 387034 549579 568530 580551 600570 915965 967585 1099158 1161102 1648737 1741653 1831930 1935170 2747895 2902755 3297474 3483306 5495790 5805510 8243685 8708265 16487370 17416530 42153341 84306682 126460023 210766705 252920046 379380069 421533410 632300115 758760138 1222446889 1264600230 1896900345 2444893778 3667340667 3793800690 6112234445 7334681334 11002022001 12224468890 18336703335 22004044002 36673406670 55010110005 110020220010