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103302210220 = 225112959927031
BaseRepresentation
bin110000000110101001…
…0101010001010101100
3100212122022100000001221
41200031102222022230
53143030331211340
6115242324513124
710314632204356
oct1401522521254
9325568300057
10103302210220
113a8a044a560
121802b84b7a4
1399839b6aa1
144ddd8540d6
152a490c744a
hex180d4aa2ac

103302210220 has 96 divisors (see below), whose sum is σ = 245234304000. Its totient is φ = 36207225600.

The previous prime is 103302210181. The next prime is 103302210229. The reversal of 103302210220 is 22012203301.

It is a junction number, because it is equal to n+sod(n) for n = 103302210194 and 103302210203.

It is not an unprimeable number, because it can be changed into a prime (103302210229) 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, 3808105 + ... + 3835135.

It is an arithmetic number, because the mean of its divisors is an integer number (2554524000).

Almost surely, 2103302210220 is an apocalyptic number.

103302210220 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 103302210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122617152000).

103302210220 is an abundant number, since it is smaller than the sum of its proper divisors (141932093780).

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

103302210220 is a wasteful number, since it uses less digits than its factorization.

103302210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27679 (or 27677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103302210220 its reverse (22012203301), we get a palindrome (125314413521).

The spelling of 103302210220 in words is "one hundred three billion, three hundred two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 599 638 1198 1276 1595 2396 2995 3190 5990 6380 6589 11980 13178 17371 26356 27031 32945 34742 54062 65890 69484 86855 108124 131780 135155 173710 191081 270310 297341 347420 382162 540620 594682 764324 783899 955405 1189364 1486705 1567798 1910810 2973410 3135596 3821620 3919495 5946820 7838990 8622889 15677980 16191569 17245778 32383138 34491556 43114445 64766276 80957845 86228890 161915690 172457780 178107259 323831380 356214518 469555501 712429036 890536295 939111002 1781072590 1878222004 2347777505 3562145180 4695555010 5165110511 9391110020 10330221022 20660442044 25825552555 51651105110 103302210220