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420230011300 = 225211234729753
BaseRepresentation
bin1100001110101111010…
…10010001100110100100
31111011200112220102102121
412013113222101212210
523341112340330200
6521015003315324
742234456105541
oct6072752214644
91434615812377
10420230011300
11152244982300
126953a21bb44
133082087a428
14164a6c3dbc8
15ade794ae1a
hex61d7a919a4

420230011300 has 54 divisors (see below), whose sum is σ = 1002335430194. Its totient is φ = 152810908800.

The previous prime is 420230011283. The next prime is 420230011309. The reversal of 420230011300 is 3110032024.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 148004861796 + 272225149504 = 384714^2 + 521752^2 .

It is not an unprimeable number, because it can be changed into a prime (420230011309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17352777 + ... + 17376976.

Almost surely, 2420230011300 is an apocalyptic number.

It is an amenable number.

420230011300 is an abundant number, since it is smaller than the sum of its proper divisors (582105418894).

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

420230011300 is a wasteful number, since it uses less digits than its factorization.

420230011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34729789 (or 34729771 counting only the distinct ones).

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

Adding to 420230011300 its reverse (3110032024), we get a palindrome (423340043324).

The spelling of 420230011300 in words is "four hundred twenty billion, two hundred thirty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 34729753 69459506 138919012 173648765 347297530 382027283 694595060 764054566 868243825 1528109132 1736487650 1910136415 3472975300 3820272830 4202300113 7640545660 8404600226 9550682075 16809200452 19101364150 21011500565 38202728300 42023001130 84046002260 105057502825 210115005650 420230011300