Search a number
-
+
300000111240 = 2335163104914621
BaseRepresentation
bin1000101110110010110…
…01100110101010001000
31001200100112010200100010
410113121121212222020
514403400012024430
6345452415311520
730450165604554
oct4273131465210
91050315120303
10300000111240
11106258272935
124a18551b5a0
132239cb6a42b
141073d170864
157c0c6d1cb0
hex45d9666a88

300000111240 has 128 divisors (see below), whose sum is σ = 906447024000. Its totient is φ = 79428003840.

The previous prime is 300000111227. The next prime is 300000111251. The reversal of 300000111240 is 42111000003.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20511130 + ... + 20525750.

It is an arithmetic number, because the mean of its divisors is an integer number (7081617375).

Almost surely, 2300000111240 is an apocalyptic number.

300000111240 is a gapful number since it is divisible by the number (30) 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 300000111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453223512000).

300000111240 is an abundant number, since it is smaller than the sum of its proper divisors (606446912760).

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

300000111240 is a wasteful number, since it uses less digits than its factorization.

300000111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15847 (or 15843 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 300000111240 its reverse (42111000003), we get a palindrome (342111111243).

The spelling of 300000111240 in words is "three hundred billion, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1049 1304 1630 1956 2098 2445 3147 3260 3912 4196 4890 5245 6294 6520 8392 9780 10490 12588 14621 15735 19560 20980 25176 29242 31470 41960 43863 58484 62940 73105 87726 116968 125880 146210 170987 175452 219315 292420 341974 350904 438630 512961 584840 683948 854935 877260 1025922 1367896 1709870 1754520 2051844 2383223 2564805 3419740 4103688 4766446 5129610 6839480 7149669 9532892 10259220 11916115 14299338 15337429 19065784 20518440 23832230 28598676 30674858 35748345 46012287 47664460 57197352 61349716 71496690 76687145 92024574 95328920 122699432 142993380 153374290 184049148 230061435 285986760 306748580 368098296 460122870 613497160 920245740 1840491480 2500000927 5000001854 7500002781 10000003708 12500004635 15000005562 20000007416 25000009270 30000011124 37500013905 50000018540 60000022248 75000027810 100000037080 150000055620 300000111240