Search a number
-
+
303241022000300 = 2252163158311752207
BaseRepresentation
bin100010011110010111100110…
…1011001011100110010101100
31110202200120002012122002011002
41010330233031121130302230
5304221300103113002200
62552535000301415432
7120605304133102526
oct10474571531346254
91422616065562132
10303241022000300
118869288249538a
122a01618486a578
1310028675c77337
1454c4d2da14a16
15250cedcad8bd5
hex113cbcd65ccac

303241022000300 has 72 divisors (see below), whose sum is σ = 662488324033536. Its totient is φ = 120476094500160.

The previous prime is 303241022000281. The next prime is 303241022000383. The reversal of 303241022000300 is 3000220142303.

It is a super-4 number, since 4×3032410220003004 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19926797 + ... + 31679003.

It is an arithmetic number, because the mean of its divisors is an integer number (9201226722688).

Almost surely, 2303241022000300 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 303241022000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331244162016768).

303241022000300 is an abundant number, since it is smaller than the sum of its proper divisors (359247302033236).

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

303241022000300 is a wasteful number, since it uses less digits than its factorization.

303241022000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753967 (or 11753960 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 303241022000300 its reverse (3000220142303), we get a palindrome (306241242142603).

The spelling of 303241022000300 in words is "three hundred three trillion, two hundred forty-one billion, twenty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1583 1630 3166 3260 4075 6332 7915 8150 15830 16300 31660 39575 79150 158300 258029 516058 1032116 1290145 2580290 5160580 6450725 11752207 12901450 23504414 25802900 47008828 58761035 117522070 235044140 293805175 587610350 1175220700 1915609741 3831219482 7662438964 9578048705 18603743681 19156097410 37207487362 38312194820 47890243525 74414974724 93018718405 95780487050 186037436810 191560974100 372074873620 465093592025 930187184050 1860374368100 3032410220003 6064820440006 12129640880012 15162051100015 30324102200030 60648204400060 75810255500075 151620511000150 303241022000300