Search a number
-
+
301043211102150 = 235211211878611433
BaseRepresentation
bin100010001110011000001010…
…1101010001110011111000110
31110110220110010222200102212220
41010130300111222032133012
5303424242444020232100
62544133201510353210
7120260440260516546
oct10434602552163706
91413813128612786
10301043211102150
1187a15788539a90
122992023635b806
13cbc9339aaab4a
14544a7d7ac5326
1524c0c5894eaa0
hex111cc15a8e7c6

301043211102150 has 96 divisors (see below), whose sum is σ = 814497259874688. Its totient is φ = 72976719340800.

The previous prime is 301043211102121. The next prime is 301043211102163. The reversal of 301043211102150 is 51201112340103.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 301043211102150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30652834 + ... + 39264266.

It is an arithmetic number, because the mean of its divisors is an integer number (8484346457028).

Almost surely, 2301043211102150 is an apocalyptic number.

301043211102150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

301043211102150 is an abundant number, since it is smaller than the sum of its proper divisors (513454048772538).

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

301043211102150 is a wasteful number, since it uses less digits than its factorization.

301043211102150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632646 (or 8632641 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 301043211102150 its reverse (51201112340103), we get a palindrome (352244323442253).

The spelling of 301043211102150 in words is "three hundred one trillion, forty-three billion, two hundred eleven million, one hundred two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 21187 42374 63561 105935 127122 211870 233057 317805 466114 529675 635610 699171 1059350 1165285 1398342 1589025 2330570 3178050 3495855 5826425 6991710 8611433 11652850 17222866 17479275 25834299 34958550 43057165 51668598 86114330 94725763 129171495 189451526 215285825 258342990 284177289 430571650 473628815 568354578 645857475 947257630 1291714950 1420886445 2368144075 2841772890 4736288150 7104432225 14208864450 182450430971 364900861942 547351292913 912252154855 1094702585826 1824504309710 2006954740681 2736756464565 4013909481362 4561260774275 5473512929130 6020864222043 9122521548550 10034773703405 12041728444086 13683782322825 20069547406810 27367564645650 30104321110215 50173868517025 60208642220430 100347737034050 150521605551075 301043211102150