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300450216241112 = 237195471229420041
BaseRepresentation
bin100010001010000100000010…
…0011010010110011111011000
31110101210202112011020022111212
41010110020010122112133120
5303340034020324203422
62543000531320442252
7120166545305413310
oct10424100432263730
91411722464208455
10300450216241112
1187807248390033
1229845321619388
13cb854455356a2
145429c21d38440
1524b05edab39e2
hex11142046967d8

300450216241112 has 128 divisors (see below), whose sum is σ = 679500263232000. Its totient is φ = 121664928752640.

The previous prime is 300450216241103. The next prime is 300450216241139. The reversal of 300450216241112 is 211142612054003.

It is a super-2 number, since 2×3004502162411122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 715077812 + ... + 715497852.

It is an arithmetic number, because the mean of its divisors is an integer number (5308595806500).

Almost surely, 2300450216241112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300450216241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339750131616000).

300450216241112 is an abundant number, since it is smaller than the sum of its proper divisors (379050046990888).

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

300450216241112 is a wasteful number, since it uses less digits than its factorization.

300450216241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421849 (or 421845 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 300450216241112 its reverse (211142612054003), we get a palindrome (511592828295115).

The spelling of 300450216241112 in words is "three hundred trillion, four hundred fifty billion, two hundred sixteen million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 547 1064 1094 1229 2188 2458 3829 4376 4916 7658 8603 9832 10393 15316 17206 20786 23351 30632 34412 41572 46702 68824 72751 83144 93404 145502 163457 186808 291004 326914 420041 582008 653828 672263 840082 1307656 1344526 1680164 2689052 2940287 3360328 4705841 5378104 5880574 7980779 9411682 11761148 12772997 15961558 18823364 23522296 25545994 31923116 37646728 51091988 55865453 63846232 89410979 102183976 111730906 178821958 223461812 229762427 357643916 446923624 459524854 516230389 715287832 919049708 1032460778 1608336989 1838099416 2064921556 3216673978 3613612723 4129843112 4365486113 6433347956 7227225446 8730972226 9808377391 12866695912 14454450892 17461944452 19616754782 28908901784 30558402791 34923888904 39233509564 61116805582 68658641737 78467019128 122233611164 137317283474 244467222328 274634566948 282378022783 549269133896 564756045566 1129512091132 1976646159481 2259024182264 3953292318962 5365182432877 7906584637924 10730364865754 15813169275848 21460729731508 37556277030139 42921459463016 75112554060278 150225108120556 300450216241112