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1300212200 = 235271376779
BaseRepresentation
bin100110101111111…
…1010100111101000
310100121120121211102
41031133322213220
510130323242300
6333004020532
744135423060
oct11537724750
93317517742
101300212200
11607a32741
12303531748
131794b0741
14c49783a0
15792330d5
hex4d7fa9e8

1300212200 has 96 divisors (see below), whose sum is σ = 3480580800. Its totient is φ = 442467840.

The previous prime is 1300212167. The next prime is 1300212211. The reversal of 1300212200 is 22120031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188411 + ... + 195189.

It is an arithmetic number, because the mean of its divisors is an integer number (36256050).

Almost surely, 21300212200 is an apocalyptic number.

1300212200 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 1300212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740290400).

1300212200 is an abundant number, since it is smaller than the sum of its proper divisors (2180368600).

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

1300212200 is a wasteful number, since it uses less digits than its factorization.

1300212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1300212200 is about 36058.4553191065. The cubic root of 1300212200 is about 1091.4522627970.

Adding to 1300212200 its reverse (22120031), we get a palindrome (1322332231).

The spelling of 1300212200 in words is "one billion, three hundred million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 137 140 175 200 274 280 350 548 685 700 959 1096 1370 1400 1918 2740 3425 3836 4795 5480 6779 6850 7672 9590 13558 13700 19180 23975 27116 27400 33895 38360 47453 47950 54232 67790 94906 95900 135580 169475 189812 191800 237265 271160 338950 379624 474530 677900 928723 949060 1186325 1355800 1857446 1898120 2372650 3714892 4643615 4745300 6501061 7429784 9287230 9490600 13002122 18574460 23218075 26004244 32505305 37148920 46436150 52008488 65010610 92872300 130021220 162526525 185744600 260042440 325053050 650106100 1300212200