Search a number
-
+
300011031120 = 24351796983497
BaseRepresentation
bin1000101110110100000…
…11010000101001010000
31001200101021200110121010
410113122003100221100
514403410310443440
6345453445330520
730450360455133
oct4273203205120
91050337613533
10300011031120
11106263451129
124a189106a40
13223a21c18b8
14107407b421a
157c0d63c580
hex45da0d0a50

300011031120 has 80 divisors (see below), whose sum is σ = 935230052160. Its totient is φ = 79555986432.

The previous prime is 300011031031. The next prime is 300011031157. The reversal of 300011031120 is 21130110003.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 300011031096 and 300011031105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3448789 + ... + 3534708.

It is an arithmetic number, because the mean of its divisors is an integer number (11690375652).

Almost surely, 2300011031120 is an apocalyptic number.

300011031120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300011031120 is an abundant number, since it is smaller than the sum of its proper divisors (635219021040).

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

300011031120 is a wasteful number, since it uses less digits than its factorization.

300011031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983692 (or 6983686 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 300011031120 its reverse (21130110003), we get a palindrome (321141141123).

The spelling of 300011031120 in words is "three hundred billion, eleven million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 7160 8592 10740 14320 21480 42960 6983497 13966994 20950491 27933988 34917485 41900982 55867976 69834970 83801964 104752455 111735952 139669940 167603928 209504910 279339880 335207856 419009820 558679760 838019640 1250045963 1676039280 2500091926 3750137889 5000183852 6250229815 7500275778 10000367704 12500459630 15000551556 18750689445 20000735408 25000919260 30001103112 37501378890 50001838520 60002206224 75002757780 100003677040 150005515560 300011031120