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103100010220 = 22523715775471
BaseRepresentation
bin110000000000100111…
…1010100111011101100
3100212010012212011211001
41200001033110323230
53142122100311340
6115210303010044
710306625425114
oct1400117247354
9325105764731
10103100010220
113a7a72a4719
1217b93b99924
139950b3c30c
144dc0a5c044
152a3648629a
hex18013d4eec

103100010220 has 96 divisors (see below), whose sum is σ = 229544534016. Its totient is φ = 38816870400.

The previous prime is 103100010217. The next prime is 103100010239. The reversal of 103100010220 is 22010001301.

It is a super-2 number, since 2×1031000102202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 103100010197 and 103100010206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18842085 + ... + 18847555.

It is an arithmetic number, because the mean of its divisors is an integer number (2391088896).

Almost surely, 2103100010220 is an apocalyptic number.

103100010220 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 103100010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114772267008).

103100010220 is an abundant number, since it is smaller than the sum of its proper divisors (126444523796).

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

103100010220 is a wasteful number, since it uses less digits than its factorization.

103100010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 103100010220 its reverse (22010001301), we get a palindrome (125110011521).

The spelling of 103100010220 in words is "one hundred three billion, one hundred million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 577 710 1154 1420 1633 2308 2885 3266 5471 5770 6532 8165 10942 11540 13271 16330 21884 26542 27355 32660 40967 53084 54710 66355 81934 109420 125833 132710 163868 204835 251666 265420 388441 409670 503332 629165 776882 819340 942241 1258330 1553764 1884482 1942205 2516660 3156767 3768964 3884410 4711205 6313534 7768820 8934143 9422410 12627068 15783835 17868286 18844820 31567670 35736572 44670715 63135340 72605641 89341430 145211282 178682860 224130457 290422564 363028205 448260914 726056410 896521828 1120652285 1452112820 2241304570 4482609140 5155000511 10310001022 20620002044 25775002555 51550005110 103100010220