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103302013200 = 24352432001977
BaseRepresentation
bin110000000110101000…
…1111010000100010000
3100212122021221222210220
41200031101322010100
53143030303410300
6115242320353040
710314630424101
oct1401521720420
9325567858726
10103302013200
113a8a0325531
121802b775780
1399839481c9
144ddd8023a8
152a49088da0
hex180d47a110

103302013200 has 120 divisors (see below), whose sum is σ = 338606551008. Its totient is φ = 26906557440.

The previous prime is 103302013151. The next prime is 103302013207. The reversal of 103302013200 is 2310203301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103302013200.

It is not an unprimeable number, because it can be changed into a prime (103302013207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949389 + ... + 1052588.

Almost surely, 2103302013200 is an apocalyptic number.

103302013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103302013200 is an abundant number, since it is smaller than the sum of its proper divisors (235304537808).

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

103302013200 is a wasteful number, since it uses less digits than its factorization.

103302013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002041 (or 2002030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103302013200 its reverse (2310203301), we get a palindrome (105612216501).

The spelling of 103302013200 in words is "one hundred three billion, three hundred two million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 2001977 4003954 6005931 8007908 10009885 12011862 16015816 20019770 24023724 30029655 32031632 40039540 48047448 50049425 60059310 80079080 86085011 96094896 100098850 120118620 150148275 160158160 172170022 200197700 240237240 258255033 300296550 344340044 400395400 430425055 480474480 516510066 600593100 688680088 800790800 860850110 1033020132 1201186200 1291275165 1377360176 1721700220 2066040264 2152125275 2402372400 2582550330 3443400440 4132080528 4304250550 5165100660 6456375825 6886800880 8608501100 10330201320 12912751650 17217002200 20660402640 25825503300 34434004400 51651006600 103302013200