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300201310002 = 23112439799137
BaseRepresentation
bin1000101111001010110…
…01000111011100110010
31001200212112201122011010
410113211121013130302
514404303013410002
6345524403531350
730455161014066
oct4274531073462
91050775648133
10300201310002
111063508a4500
124a220989b56
1322402754259
141075bb85aa6
157c201c646c
hex45e5647732

300201310002 has 96 divisors (see below), whose sum is σ = 682262957376. Its totient is φ = 87937597440.

The previous prime is 300201309977. The next prime is 300201310007. The reversal of 300201310002 is 200013102003.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 300201310002.

It is not an unprimeable number, because it can be changed into a prime (300201310007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2978578 + ... + 3077714.

It is an arithmetic number, because the mean of its divisors is an integer number (7106905806).

Almost surely, 2300201310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300201310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341131478688).

300201310002 is an abundant number, since it is smaller than the sum of its proper divisors (382061647374).

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

300201310002 is a wasteful number, since it uses less digits than its factorization.

300201310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99304 (or 99293 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 300201310002 its reverse (200013102003), we get a palindrome (500214412005).

The spelling of 300201310002 in words is "three hundred billion, two hundred one million, three hundred ten thousand, two".

Divisors: 1 2 3 6 11 22 33 43 66 86 97 121 129 194 242 258 291 363 473 582 726 946 1067 1419 2134 2838 3201 4171 5203 6402 8342 10406 11737 12513 15609 23474 25026 31218 35211 45881 70422 91762 99137 137643 198274 275286 297411 504691 594822 1009382 1090507 1514073 2181014 3028146 3271521 4262891 6543042 8525782 9616289 11995577 12788673 19232578 23991154 25577346 28848867 35986731 46891801 57697734 71973462 93783602 105779179 140675403 211558358 281350806 317337537 413500427 515809811 634675074 827000854 1031619622 1163570969 1240501281 1547429433 2327141938 2481002562 3094858866 3490712907 4548504697 6981425814 9097009394 13645514091 27291028182 50033551667 100067103334 150100655001 300201310002