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20310201300 = 22352592634363
BaseRepresentation
bin10010111010100101…
…010001001111010100
31221102110020010102210
4102322211101033110
5313043402420200
613155210033420
71316206601604
oct227245211724
957373203383
1020310201300
118682640934
123b29a18870
131bb8a37abc
14da9592c04
157dd0e2650
hex4ba9513d4

20310201300 has 144 divisors (see below), whose sum is σ = 60001159680. Its totient is φ = 5302796160.

The previous prime is 20310201271. The next prime is 20310201323. The reversal of 20310201300 is 310201302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 4652919 + ... + 4657281.

It is an arithmetic number, because the mean of its divisors is an integer number (416674720).

Almost surely, 220310201300 is an apocalyptic number.

20310201300 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 20310201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30000579840).

20310201300 is an abundant number, since it is smaller than the sum of its proper divisors (39690958380).

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

20310201300 is a wasteful number, since it uses less digits than its factorization.

20310201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20310201300 its reverse (310201302), we get a palindrome (20620402602).

The spelling of 20310201300 in words is "twenty billion, three hundred ten million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 263 295 300 354 526 590 708 789 885 1052 1180 1315 1475 1578 1770 2630 2950 3156 3540 3945 4363 4425 5260 5900 6575 7890 8726 8850 13089 13150 15517 15780 17452 17700 19725 21815 26178 26300 31034 39450 43630 46551 52356 62068 65445 77585 78900 87260 93102 109075 130890 155170 186204 218150 232755 257417 261780 310340 327225 387925 436300 465510 514834 654450 772251 775850 931020 1029668 1147469 1163775 1287085 1308900 1544502 1551700 2294938 2327550 2574170 3089004 3442407 3861255 4589876 4655100 5148340 5737345 6435425 6884814 7722510 11474690 12870850 13769628 15445020 17212035 19306275 22949380 25741700 28686725 34424070 38612550 57373450 67700671 68848140 77225100 86060175 114746900 135401342 172120350 203102013 270802684 338503355 344240700 406204026 677006710 812408052 1015510065 1354013420 1692516775 2031020130 3385033550 4062040260 5077550325 6770067100 10155100650 20310201300