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102203104300 = 225211143964567
BaseRepresentation
bin101111100101111000…
…1111001110000101100
3100202210201011122012021
41133023301321300230
53133302443314200
6114541303115524
710245455024053
oct1371361716054
9322721148167
10102203104300
113a386a95a60
1217983742ba4
13983a08a05b
144d378a939a
1529d286b41a
hex17cbc79c2c

102203104300 has 72 divisors (see below), whose sum is σ = 242114503680. Its totient is φ = 37138363200.

The previous prime is 102203104271. The next prime is 102203104301. The reversal of 102203104300 is 3401302201.

It is a happy number.

102203104300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102203104301) 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, 1550617 + ... + 1615183.

It is an arithmetic number, because the mean of its divisors is an integer number (3362701440).

Almost surely, 2102203104300 is an apocalyptic number.

102203104300 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 102203104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121057251840).

102203104300 is an abundant number, since it is smaller than the sum of its proper divisors (139911399380).

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

102203104300 is a wasteful number, since it uses less digits than its factorization.

102203104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66031 (or 66024 counting only the distinct ones).

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

Adding to 102203104300 its reverse (3401302201), we get a palindrome (105604406501).

The spelling of 102203104300 in words is "one hundred two billion, two hundred three million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1439 2878 5756 7195 14390 15829 28780 31658 35975 63316 64567 71950 79145 129134 143900 158290 258268 316580 322835 395725 645670 710237 791450 1291340 1420474 1582900 1614175 2840948 3228350 3551185 6456700 7102370 14204740 17755925 35511850 71023700 92911913 185823826 371647652 464559565 929119130 1022031043 1858238260 2044062086 2322797825 4088124172 4645595650 5110155215 9291191300 10220310430 20440620860 25550776075 51101552150 102203104300