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1230200001300 = 2235229551925621
BaseRepresentation
bin10001111001101101101…
…000100101001100010100
311100121100202100010120010
4101321231220211030110
5130123422200020200
62341051315240220
7154610334323034
oct21715550451424
94317322303503
101230200001300
114347a7914056
1217a5075a9070
138c01323786a
14437833558c4
152200116e150
hex11e6da25314

1230200001300 has 144 divisors (see below), whose sum is σ = 3682926777600. Its totient is φ = 316671398400.

The previous prime is 1230200001263. The next prime is 1230200001319. The reversal of 1230200001300 is 31000020321.

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 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 47 ways as a sum of consecutive naturals, for example, 48002490 + ... + 48028110.

It is an arithmetic number, because the mean of its divisors is an integer number (25575880400).

Almost surely, 21230200001300 is an apocalyptic number.

1230200001300 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 1230200001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841463388800).

1230200001300 is an abundant number, since it is smaller than the sum of its proper divisors (2452726776300).

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

1230200001300 is a wasteful number, since it uses less digits than its factorization.

1230200001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31186 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1230200001300 its reverse (31000020321), we get a palindrome (1261200021621).

The spelling of 1230200001300 in words is "one trillion, two hundred thirty billion, two hundred million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 5519 8700 11038 16557 22076 25621 27595 33114 51242 55190 66228 76863 82785 102484 110380 128105 137975 153726 160051 165570 256210 275950 307452 320102 331140 384315 413925 480153 512420 551900 640204 640525 743009 768630 800255 827850 960306 1281050 1486018 1537260 1600510 1655700 1920612 1921575 2229027 2400765 2562100 2972036 3201020 3715045 3843150 4001275 4458054 4801530 7430090 7686300 8002550 8916108 9603060 11145135 12003825 14860180 16005100 18575225 22290270 24007650 37150450 44580540 48015300 55725675 74300900 111451350 141402299 222902700 282804598 424206897 565609196 707011495 848413794 1414022990 1696827588 2121034485 2828045980 3535057475 4100666671 4242068970 7070114950 8201333342 8484137940 10605172425 12302000013 14140229900 16402666684 20503333355 21210344850 24604000026 41006666710 42420689700 49208000052 61510000065 82013333420 102516666775 123020000130 205033333550 246040000260 307550000325 410066667100 615100000650 1230200001300