Search a number
-
+
300310022000 = 24532943120413
BaseRepresentation
bin1000101111010111101…
…11110100011101110000
31001201011010021202222102
410113223313310131300
514410013331201000
6345543245555532
730460651032512
oct4275367643560
91051133252872
10300310022000
111063a71a642a
124a251275ba8
132241c128291
141076c3a3bb2
157c299ec3d5
hex45ebdf4770

300310022000 has 160 divisors (see below), whose sum is σ = 768665177280. Its totient is φ = 113283609600.

The previous prime is 300310021969. The next prime is 300310022041. The reversal of 300310022000 is 220013003.

It is a super-2 number, since 2×3003100220002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433794 + ... + 2554206.

It is an arithmetic number, because the mean of its divisors is an integer number (4804157358).

Almost surely, 2300310022000 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 300310022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384332588640).

300310022000 is an abundant number, since it is smaller than the sum of its proper divisors (468355155280).

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

300310022000 is a wasteful number, since it uses less digits than its factorization.

300310022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120508 (or 120492 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 300310022000 its reverse (220013003), we get a palindrome (300530035003).

The spelling of 300310022000 in words is "three hundred billion, three hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 43 50 58 80 86 100 116 125 145 172 200 215 232 250 290 344 400 430 464 500 580 688 725 860 1000 1075 1160 1247 1450 1720 2000 2150 2320 2494 2900 3440 3625 4300 4988 5375 5800 6235 7250 8600 9976 10750 11600 12470 14500 17200 19952 21500 24940 29000 31175 43000 49880 58000 62350 86000 99760 120413 124700 155875 240826 249400 311750 481652 498800 602065 623500 963304 1204130 1247000 1926608 2408260 2494000 3010325 3491977 4816520 5177759 6020650 6983954 9633040 10355518 12041300 13967908 15051625 17459885 20711036 24082600 25888795 27935816 30103250 34919770 41422072 48165200 51777590 55871632 60206500 69839540 82844144 87299425 103555180 120413000 129443975 139679080 150155011 174598850 207110360 240826000 258887950 279358160 300310022 349197700 414220720 436497125 517775900 600620044 647219875 698395400 750775055 872994250 1035551800 1201240088 1294439750 1396790800 1501550110 1745988500 2071103600 2402480176 2588879500 3003100220 3491977000 3753875275 5177759000 6006200440 6983954000 7507750550 10355518000 12012400880 15015501100 18769376375 30031002200 37538752750 60062004400 75077505500 150155011000 300310022000