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103230101200 = 2452701368153
BaseRepresentation
bin110000000100011111…
…1100101011011010000
3100212110021122111002111
41200020333211123100
53142403401214300
6115231231155104
710313065245112
oct1401077453320
9325407574074
10103230101200
113a863778a26
121800b675a94
139971a8a325
144dd40433b2
152a42ad19ba
hex1808fe56d0

103230101200 has 60 divisors (see below), whose sum is σ = 248364787788. Its totient is φ = 41233024000.

The previous prime is 103230101167. The next prime is 103230101213. The reversal of 103230101200 is 2101032301.

It can be written as a sum of positive squares in 6 ways, for example, as 5481329296 + 97748771904 = 74036^2 + 312648^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 96324 + ... + 464476.

Almost surely, 2103230101200 is an apocalyptic number.

103230101200 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 103230101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124182393894).

103230101200 is an abundant number, since it is smaller than the sum of its proper divisors (145134686588).

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

103230101200 is a wasteful number, since it uses less digits than its factorization.

103230101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368872 (or 368861 counting only the distinct ones).

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

Adding to 103230101200 its reverse (2101032301), we get a palindrome (105331133501).

The spelling of 103230101200 in words is "one hundred three billion, two hundred thirty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 701 1402 2804 3505 5608 7010 11216 14020 17525 28040 35050 56080 70100 140200 280400 368153 736306 1472612 1840765 2945224 3681530 5890448 7363060 9203825 14726120 18407650 29452240 36815300 73630600 147261200 258075253 516150506 1032301012 1290376265 2064602024 2580752530 4129204048 5161505060 6451881325 10323010120 12903762650 20646020240 25807525300 51615050600 103230101200