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103203011200 = 275256695689
BaseRepresentation
bin110000000011101100…
…0001111101010000000
3100212101101200011121011
41200013120033222000
53142324432324300
6115224422410304
710312316056402
oct1400730175200
9325341604534
10103203011200
113a84a4558a3
1218002590994
139969293a43
144dd05d0b72
152a4052eeba
hex180760fa80

103203011200 has 96 divisors (see below), whose sum is σ = 255033481500. Its totient is φ = 41266667520.

The previous prime is 103203011147. The next prime is 103203011237. The reversal of 103203011200 is 2110302301.

It can be written as a sum of positive squares in 6 ways, for example, as 52448328256 + 50754682944 = 229016^2 + 225288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18137956 + ... + 18143644.

Almost surely, 2103203011200 is an apocalyptic number.

103203011200 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 103203011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127516740750).

103203011200 is an abundant number, since it is smaller than the sum of its proper divisors (151830470300).

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

103203011200 is an equidigital number, since it uses as much as digits as its factorization.

103203011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103203011200 its reverse (2110302301), we get a palindrome (105313313501).

The spelling of 103203011200 in words is "one hundred three billion, two hundred three million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 5669 5689 11338 11378 22676 22756 28345 28445 45352 45512 56690 56890 90704 91024 113380 113780 141725 142225 181408 182048 226760 227560 283450 284450 362816 364096 453520 455120 566900 568900 725632 728192 907040 910240 1133800 1137800 1814080 1820480 2267600 2275600 3628160 3640960 4535200 4551200 9070400 9102400 18140800 18204800 32250941 64501882 129003764 161254705 258007528 322509410 516015056 645018820 806273525 1032030112 1290037640 1612547050 2064060224 2580075280 3225094100 4128120448 5160150560 6450188200 10320301120 12900376400 20640602240 25800752800 51601505600 103203011200