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130032313221200 = 24521366913737291
BaseRepresentation
bin11101100100001110000001…
…110101101100000001010000
3122001101222010111001000002012
4131210032001311230001100
5114020422134141034300
61140320004154242052
736250344640435445
oct3544160165540120
9561358114030065
10130032313221200
1138483437972615
1212701172726328
135772cc0c71210
1424178519179cc
15100768b306435
hex764381d6c050

130032313221200 has 120 divisors (see below), whose sum is σ = 336483975793056. Its totient is φ = 48004742592000.

The previous prime is 130032313221193. The next prime is 130032313221227. The reversal of 130032313221200 is 2122313230031.

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 23 ways as a sum of consecutive naturals, for example, 32924555 + ... + 36661845.

Almost surely, 2130032313221200 is an apocalyptic number.

130032313221200 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 130032313221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168241987896528).

130032313221200 is an abundant number, since it is smaller than the sum of its proper divisors (206451662571856).

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

130032313221200 is a wasteful number, since it uses less digits than its factorization.

130032313221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744013 (or 3744002 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 130032313221200 its reverse (2122313230031), we get a palindrome (132154626451231).

The spelling of 130032313221200 in words is "one hundred thirty trillion, thirty-two billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 6691 13382 26764 33455 53528 66910 86983 107056 133820 167275 173966 267640 334550 347932 434915 535280 669100 695864 869830 1338200 1391728 1739660 2174575 2676400 3479320 3737291 4349150 6958640 7474582 8698300 14949164 17396600 18686455 29898328 34793200 37372910 48584783 59796656 74745820 93432275 97169566 149491640 186864550 194339132 242923915 298983280 373729100 388678264 485847830 747458200 777356528 971695660 1214619575 1494916400 1943391320 2429239150 3886782640 4858478300 9716956600 19433913200 25006214081 50012428162 100024856324 125031070405 200049712648 250062140810 325080783053 400099425296 500124281620 625155352025 650161566106 1000248563240 1250310704050 1300323132212 1625403915265 2000497126480 2500621408100 2600646264424 3250807830530 5001242816200 5201292528848 6501615661060 8127019576325 10002485632400 13003231322120 16254039152650 26006462644240 32508078305300 65016156610600 130032313221200