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1301130200 = 235219134061
BaseRepresentation
bin100110110001101…
…1010101111011000
310100200022021002102
41031203122233120
510131042131300
6333035422532
744146265336
oct11543325730
93320267072
101301130200
116084aa417
123038b4a48
13179742536
14c4b36b56
15793650d5
hex4d8dabd8

1301130200 has 48 divisors (see below), whose sum is σ = 3041055360. Its totient is φ = 517712000.

The previous prime is 1301130199. The next prime is 1301130221. The reversal of 1301130200 is 20311031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21170 + ... + 55230.

It is an arithmetic number, because the mean of its divisors is an integer number (63355320).

Almost surely, 21301130200 is an apocalyptic number.

1301130200 is a gapful number since it is divisible by the number (10) 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 1301130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520527680).

1301130200 is an abundant number, since it is smaller than the sum of its proper divisors (1739925160).

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

1301130200 is a wasteful number, since it uses less digits than its factorization.

1301130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34268 (or 34259 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1301130200 is about 36071.1824036862. The cubic root of 1301130200 is about 1091.7090715096.

Adding to 1301130200 its reverse (20311031), we get a palindrome (1321441231).

The spelling of 1301130200 in words is "one billion, three hundred one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 764 955 1528 1910 3820 4775 7640 9550 19100 34061 38200 68122 136244 170305 272488 340610 681220 851525 1362440 1703050 3406100 6505651 6812200 13011302 26022604 32528255 52045208 65056510 130113020 162641275 260226040 325282550 650565100 1301130200