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20301041300 = 225217312271697
BaseRepresentation
bin10010111010000010…
…010100111010010100
31221101210222202021112
4102322002110322110
5313034031310200
613154241434152
71316036001221
oct227202247224
957353882245
1020301041300
118678454891
123b2693b958
131bb6b7b697
14da828a948
157dc3d3535
hex4ba094e94

20301041300 has 144 divisors (see below), whose sum is σ = 48389902848. Its totient is φ = 7359283200.

The previous prime is 20301041279. The next prime is 20301041347. The reversal of 20301041300 is 314010302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11962052 + ... + 11963748.

It is an arithmetic number, because the mean of its divisors is an integer number (336040992).

Almost surely, 220301041300 is an apocalyptic number.

20301041300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24194951424).

20301041300 is an abundant number, since it is smaller than the sum of its proper divisors (28088861548).

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

20301041300 is a wasteful number, since it uses less digits than its factorization.

20301041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20301041300 its reverse (314010302), we get a palindrome (20615051602).

The spelling of 20301041300 in words is "twenty billion, three hundred one million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 227 310 340 425 454 527 620 775 850 908 1054 1135 1550 1697 1700 2108 2270 2635 3100 3394 3859 4540 5270 5675 6788 7037 7718 8485 10540 11350 13175 14074 15436 16970 19295 22700 26350 28148 28849 33940 35185 38590 42425 52607 52700 57698 70370 77180 84850 96475 105214 115396 119629 140740 144245 169700 175925 192950 210428 239258 263035 288490 351850 385219 385900 478516 526070 576980 598145 703700 721225 770438 894319 1052140 1196290 1315175 1442450 1540876 1788638 1926095 2392580 2630350 2884900 2990725 3577276 3852190 4471595 5260700 5981450 6548723 7704380 8943190 9630475 11941789 11962900 13097446 17886380 19260950 22357975 23883578 26194892 32743615 38521900 44715950 47767156 59708945 65487230 89431900 119417890 130974460 163718075 203010413 238835780 298544725 327436150 406020826 597089450 654872300 812041652 1015052065 1194178900 2030104130 4060208260 5075260325 10150520650 20301041300