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103023002200 = 23521771426773
BaseRepresentation
bin101111111110010100…
…1100100001001011000
3100211220211221202200011
41133330221210021120
53141442342032300
6115154512251304
710305002032666
oct1377451441130
9324824852604
10103023002200
113a767887428
1217b72240b34
13993abb8a41
144db4733c36
152a2e823eba
hex17fca64258

103023002200 has 96 divisors (see below), whose sum is σ = 257191083360. Its totient is φ = 38238771200.

The previous prime is 103023002179. The next prime is 103023002207. The reversal of 103023002200 is 2200320301.

It is a happy number.

It is a super-2 number, since 2×1030230022002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103023002207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28014 + ... + 454786.

It is an arithmetic number, because the mean of its divisors is an integer number (2679073785).

Almost surely, 2103023002200 is an apocalyptic number.

103023002200 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 103023002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128595541680).

103023002200 is an abundant number, since it is smaller than the sum of its proper divisors (154168081160).

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

103023002200 is a wasteful number, since it uses less digits than its factorization.

103023002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426877 (or 426868 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 103023002200 its reverse (2200320301), we get a palindrome (105223322501).

The spelling of 103023002200 in words is "one hundred three billion, twenty-three million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 71 85 100 136 142 170 200 284 340 355 425 568 680 710 850 1207 1420 1700 1775 2414 2840 3400 3550 4828 6035 7100 9656 12070 14200 24140 30175 48280 60350 120700 241400 426773 853546 1707092 2133865 3414184 4267730 7255141 8535460 10669325 14510282 17070920 21338650 29020564 30300883 36275705 42677300 58041128 60601766 72551410 85354600 121203532 145102820 151504415 181378525 242407064 290205640 303008830 362757050 515115011 606017660 725514100 757522075 1030230022 1212035320 1451028200 1515044150 2060460044 2575575055 3030088300 4120920088 5151150110 6060176600 10302300220 12877875275 20604600440 25755750550 51511501100 103023002200