Search a number
-
+
10303000300000 = 2555121784659
BaseRepresentation
bin1001010111101101101010…
…1011000100100111100000
31100110221211210202022102201
42111323122223010213200
52322301021034100000
633525044421022544
72112236644402162
oct225733253044740
940427753668381
1010303000300000
1133125290860a1
1211a4959b54a54
13599751745075
1427894c914932
1512d010c0496a
hex95edaac49e0

10303000300000 has 144 divisors (see below), whose sum is σ = 25374549518640. Its totient is φ = 4117765120000.

The previous prime is 10303000299883. The next prime is 10303000300013. The reversal of 10303000300000 is 300030301.

It is a happy number.

10303000300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10303000300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121657671 + ... + 121742329.

It is an arithmetic number, because the mean of its divisors is an integer number (176212149435).

Almost surely, 210303000300000 is an apocalyptic number.

10303000300000 is a gapful number since it is divisible by the number (10) 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 10303000300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687274759320).

10303000300000 is an abundant number, since it is smaller than the sum of its proper divisors (15071549218640).

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

10303000300000 is an frugal number, since it uses more digits than its factorization.

10303000300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85911 (or 85883 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

Adding to 10303000300000 its reverse (300030301), we get a palindrome (10303300330301).

The spelling of 10303000300000 in words is "ten trillion, three hundred three billion, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1217 1250 2000 2434 2500 3125 4000 4868 5000 6085 6250 9736 10000 12170 12500 19472 20000 24340 25000 30425 38944 48680 50000 60850 84659 97360 100000 121700 152125 169318 194720 243400 304250 338636 423295 486800 608500 677272 760625 846590 973600 1217000 1354544 1521250 1693180 2116475 2434000 2709088 3042500 3386360 3803125 4232950 4868000 6085000 6772720 7606250 8465900 10582375 12170000 13545440 15212500 16931800 21164750 24340000 30425000 33863600 42329500 52911875 60850000 67727200 84659000 103030003 105823750 121700000 169318000 206060006 211647500 264559375 338636000 412120012 423295000 515150015 529118750 824240024 846590000 1030300030 1058237500 1648480048 1693180000 2060600060 2116475000 2575750075 3296960096 4121200120 4232950000 5151500150 8242400240 8465900000 10303000300 12878750375 16484800480 20606000600 25757500750 41212001200 51515001500 64393751875 82424002400 103030003000 128787503750 206060006000 257575007500 321968759375 412120012000 515150015000 643937518750 1030300030000 1287875037500 2060600060000 2575750075000 5151500150000 10303000300000