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103300230100 = 22522935620769
BaseRepresentation
bin110000000110100101…
…1000110101111010100
3100212122011121101212011
41200031023012233110
53143024324330400
6115242214234004
710314606316414
oct1401513065724
9325564541764
10103300230100
113a89a3178a1
121802b055904
139983472712
144ddd49a644
152a48d358ba
hex180d2c6bd4

103300230100 has 36 divisors (see below), whose sum is σ = 231891212700. Its totient is φ = 39895260160.

The previous prime is 103300230083. The next prime is 103300230113. The reversal of 103300230100 is 1032003301.

It can be written as a sum of positive squares in 6 ways, for example, as 2854337476 + 100445892624 = 53426^2 + 316932^2 .

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, 17807485 + ... + 17813284.

It is an arithmetic number, because the mean of its divisors is an integer number (6441422575).

Almost surely, 2103300230100 is an apocalyptic number.

103300230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300230100 is an abundant number, since it is smaller than the sum of its proper divisors (128590982600).

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

103300230100 is a wasteful number, since it uses less digits than its factorization.

103300230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35620812 (or 35620805 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 103300230100 its reverse (1032003301), we get a palindrome (104332233401).

The spelling of 103300230100 in words is "one hundred three billion, three hundred million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 35620769 71241538 142483076 178103845 356207690 712415380 890519225 1033002301 1781038450 2066004602 3562076900 4132009204 5165011505 10330023010 20660046020 25825057525 51650115050 103300230100