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213330132010220 = 22531836431964453
BaseRepresentation
bin110000100000010111001010…
…101111010000010011101100
31000222100011100200202022221112
4300200113022233100103230
5210430200102243311340
62033414302032451152
762635410354013061
oct6040271257202354
91028304320668845
10213330132010220
1161a7888a018625
121bb149856a9ab8
139205c395ab734
143a9733a95ac68
15199e3163d8065
hexc205cabd04ec

213330132010220 has 96 divisors (see below), whose sum is σ = 468030833786880. Its totient is φ = 81581939124480.

The previous prime is 213330132010207. The next prime is 213330132010243. The reversal of 213330132010220 is 22010231033312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3309823514 + ... + 3309887966.

It is an arithmetic number, because the mean of its divisors is an integer number (4875321185280).

Almost surely, 2213330132010220 is an apocalyptic number.

213330132010220 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 213330132010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234015416893440).

213330132010220 is an abundant number, since it is smaller than the sum of its proper divisors (254700701776660).

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

213330132010220 is a wasteful number, since it uses less digits than its factorization.

213330132010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128895 (or 128893 counting only the distinct ones).

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

Adding to 213330132010220 its reverse (22010231033312), we get a palindrome (235340363043532).

The spelling of 213330132010220 in words is "two hundred thirteen trillion, three hundred thirty billion, one hundred thirty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 332 415 620 830 1660 2573 5146 10292 12865 25730 51460 64319 64453 128638 128906 257276 257812 321595 322265 643190 644530 1286380 1289060 1993889 1998043 3987778 3996086 5338477 5349599 7975556 7992172 9969445 9990215 10676954 10699198 19938890 19980430 21353908 21398396 26692385 26747995 39877780 39960860 53384770 53495990 106769540 106991980 165492787 165837569 330985574 331675138 661971148 663350276 827463935 829187845 1654927870 1658375690 3309855740 3316751380 4145552507 8291105014 16582210028 20727762535 41455525070 82911050140 128512127717 257024255434 344080858081 514048510868 642560638585 688161716162 1285121277170 1376323432324 1720404290405 2570242554340 3440808580810 6881617161620 10666506600511 21333013201022 42666026402044 53332533002555 106665066005110 213330132010220