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300213030211310 = 2517231091291154559
BaseRepresentation
bin100010001000010101100101…
…1000001011100111011101110
31110100222002022020212120221102
41010100223023001130323232
5303322142241213230220
62542255543453003102
7120143450516420246
oct10420531301347356
91410862266776842
10300213030211310
11877256a40202a7
1229807368483492
13cb68c76142ba8
14541c5612a8b26
1524a936ac01775
hex1110acb05ceee

300213030211310 has 128 divisors (see below), whose sum is σ = 602582917939200. Its totient is φ = 107105332561920.

The previous prime is 300213030211261. The next prime is 300213030211313. The reversal of 300213030211310 is 13112030312003.

It is a super-2 number, since 2×3002130302113102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300213030211313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5502511811 + ... + 5502566369.

It is an arithmetic number, because the mean of its divisors is an integer number (4707679046400).

Almost surely, 2300213030211310 is an apocalyptic number.

300213030211310 is an abundant number, since it is smaller than the sum of its proper divisors (302369887727890).

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

300213030211310 is a wasteful number, since it uses less digits than its factorization.

300213030211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67626.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 300213030211310 its reverse (13112030312003), we get a palindrome (313325060523313).

The spelling of 300213030211310 in words is "three hundred trillion, two hundred thirteen billion, thirty million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 10 17 23 34 46 85 109 115 170 218 230 391 545 782 1090 1853 1955 2507 3706 3910 5014 9265 12535 12911 18530 25070 25822 42619 54559 64555 85238 109118 129110 213095 219487 272795 296953 426190 438974 545590 593906 927503 1097435 1254857 1407299 1484765 1855006 2194870 2509714 2814598 2969530 4637515 5048201 5946931 6274285 7036495 9275030 10096402 11893862 12548570 14072990 21332569 23924083 25241005 29734655 32367877 42665138 47848166 50482010 59469310 64735754 101097827 106662845 119620415 136779413 161839385 202195654 213325690 239240830 273558826 323678770 505489135 550253909 683897065 704411249 1010978270 1100507818 1367794130 1408822498 2325250021 2751269545 3522056245 4650500042 5502539090 7044112490 11626250105 11974991233 16201458727 23252500210 23949982466 32402917454 59874956165 76780826141 81007293635 119749912330 153561652282 162014587270 275424798359 383904130705 550849596718 767808261410 1305274044397 1377123991795 1765959001243 2610548088794 2754247983590 3531918002486 6526370221985 8829795006215 13052740443970 17659590012430 30021303021131 60042606042262 150106515105655 300213030211310