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300220311300 = 2235271310997081
BaseRepresentation
bin1000101111001101000…
…01100110011100000100
31001200220212111000000220
410113212201212130010
514404322344430200
6345530323104340
730455511353340
oct4274641463404
91050825430026
10300220311300
111063605a2458
124a2272120b0
1322406677c20
14107604d0620
157c21bcb4a0
hex45e6866704

300220311300 has 144 divisors (see below), whose sum is σ = 1069092323712. Its totient is φ = 63343180800.

The previous prime is 300220311269. The next prime is 300220311343. The reversal of 300220311300 is 3113022003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 300220311300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5471241 + ... + 5525840.

It is an arithmetic number, because the mean of its divisors is an integer number (7424252248).

Almost surely, 2300220311300 is an apocalyptic number.

300220311300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300220311300 is an abundant number, since it is smaller than the sum of its proper divisors (768872012412).

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

300220311300 is a wasteful number, since it uses less digits than its factorization.

300220311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997118 (or 10997111 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 300220311300 its reverse (3113022003), we get a palindrome (303333333303).

The spelling of 300220311300 in words is "three hundred billion, two hundred twenty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 10997081 21994162 32991243 43988324 54985405 65982486 76979567 109970810 131964972 142962053 153959134 164956215 219941620 230938701 274927025 285924106 307918268 329912430 384897835 428886159 461877402 549854050 571848212 659824860 714810265 769795670 824781075 857772318 923754804 1000734371 1099708100 1154693505 1429620530 1539591340 1649562150 1715544636 1924489175 2001468742 2144430795 2309387010 2859241060 3002203113 3299124300 3574051325 3848978350 4002937484 4288861590 4618774020 5003671855 5773467525 6004406226 7148102650 7697956700 8577723180 10007343710 10722153975 11546935050 12008812452 14296205300 15011015565 20014687420 21444307950 23093870100 25018359275 30022031130 42888615900 50036718550 60044062260 75055077825 100073437100 150110155650 300220311300