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103430202320300 = 22522944578002151
BaseRepresentation
bin10111100001000110111000…
…011101111110010110101100
3111120012211102122011000101012
4113201012320131332112230
5102024100023243222200
61003551102355004352
730533404555606322
oct2741067035762654
9446184378130335
10103430202320300
112aa57558876539
12b7255715996b8
13459357056670b
141b7809713dd12
15be56cc19ca35
hex5e11b877e5ac

103430202320300 has 72 divisors (see below), whose sum is σ = 232235094440160. Its totient is φ = 39936490048000.

The previous prime is 103430202320293. The next prime is 103430202320309. The reversal of 103430202320300 is 3023202034301.

It is not an unprimeable number, because it can be changed into a prime (103430202320309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8924225 + ... + 16926375.

It is an arithmetic number, because the mean of its divisors is an integer number (3225487422780).

Almost surely, 2103430202320300 is an apocalyptic number.

103430202320300 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 103430202320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116117547220080).

103430202320300 is an abundant number, since it is smaller than the sum of its proper divisors (128804892119860).

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

103430202320300 is a wasteful number, since it uses less digits than its factorization.

103430202320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006651 (or 8006644 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 103430202320300 its reverse (3023202034301), we get a palindrome (106453404354601).

The spelling of 103430202320300 in words is "one hundred three trillion, four hundred thirty billion, two hundred two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4457 8914 17828 22285 44570 89140 111425 129253 222850 258506 445700 517012 646265 1292530 2585060 3231325 6462650 8002151 12925300 16004302 32008604 40010755 80021510 160043020 200053775 232062379 400107550 464124758 800215100 928249516 1160311895 2320623790 4641247580 5801559475 11603118950 23206237900 35665587007 71331174014 142662348028 178327935035 356655870070 713311740140 891639675175 1034302023203 1783279350350 2068604046406 3566558700700 4137208092812 5171510116015 10343020232030 20686040464060 25857550580075 51715101160150 103430202320300