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2030301300 = 2235247311463
BaseRepresentation
bin111100100000011…
…1111000001110100
312020111100222210110
41321000333001310
513124224120200
6533244223020
7101212163526
oct17100770164
95214328713
102030301300
11952063465
12487b3aa70
13264826521
14153905a16
15bd39ab50
hex7903f074

2030301300 has 144 divisors (see below), whose sum is σ = 6031613952. Its totient is φ = 527049600.

The previous prime is 2030301283. The next prime is 2030301307. The reversal of 2030301300 is 31030302.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030301307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4384869 + ... + 4385331.

It is an arithmetic number, because the mean of its divisors is an integer number (41886208).

Almost surely, 22030301300 is an apocalyptic number.

2030301300 is a gapful number since it is divisible by the number (20) 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 2030301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015806976).

2030301300 is an abundant number, since it is smaller than the sum of its proper divisors (4001312652).

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

2030301300 is a wasteful number, since it uses less digits than its factorization.

2030301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2030301300 is about 45058.8648325721. The cubic root of 2030301300 is about 1266.2520580560.

Adding to 2030301300 its reverse (31030302), we get a palindrome (2061331602).

The spelling of 2030301300 in words is "two billion, thirty million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 311 463 470 564 622 705 926 933 940 1175 1244 1389 1410 1555 1852 1866 2315 2350 2778 2820 3110 3525 3732 4630 4665 4700 5556 6220 6945 7050 7775 9260 9330 11575 13890 14100 14617 15550 18660 21761 23150 23325 27780 29234 31100 34725 43522 43851 46300 46650 58468 65283 69450 73085 87044 87702 93300 108805 130566 138900 143993 146170 175404 217610 219255 261132 287986 292340 326415 365425 431979 435220 438510 544025 575972 652830 719965 730850 863958 877020 1088050 1096275 1305660 1439930 1461700 1632075 1727916 2159895 2176100 2192550 2879860 3264150 3599825 4319790 4385100 6528300 6767671 7199650 8639580 10799475 13535342 14399300 20303013 21598950 27070684 33838355 40606026 43197900 67676710 81212052 101515065 135353420 169191775 203030130 338383550 406060260 507575325 676767100 1015150650 2030301300