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21530352210345 = 33511233889162091
BaseRepresentation
bin1001110010100111011001…
…11111101101000110101001
32211020021121021010200112000
410321103230333231012221
510310223130131212340
6113442523545041213
74351342125130416
oct471235477550651
984207537120460
1021530352210345
116950a75589290
1224b8887486209
13c023c3a40704
14546108a1710d
152750c1c2cd30
hex1394ecfed1a9

21530352210345 has 128 divisors (see below), whose sum is σ = 43582778265600. Its totient is φ = 9982461772800.

The previous prime is 21530352210343. The next prime is 21530352210371. The reversal of 21530352210345 is 54301225303512.

21530352210345 is a `hidden beast` number, since 2 + 1 + 5 + 303 + 5 + 2 + 2 + 1 + 0 + 345 = 666.

It is not a de Polignac number, because 21530352210345 - 21 = 21530352210343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21530352210343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132747750 + ... + 132909840.

It is an arithmetic number, because the mean of its divisors is an integer number (340490455200).

Almost surely, 221530352210345 is an apocalyptic number.

It is an amenable number.

21530352210345 is an abundant number, since it is smaller than the sum of its proper divisors (22052426055255).

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

21530352210345 is a wasteful number, since it uses less digits than its factorization.

21530352210345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166028 (or 166022 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 21530352210345 its reverse (54301225303512), we get a palindrome (75831577513857).

The spelling of 21530352210345 in words is "twenty-one trillion, five hundred thirty billion, three hundred fifty-two million, two hundred ten thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 621 759 1035 1265 1485 2277 3105 3795 3889 6831 11385 11667 19445 34155 35001 42779 58335 89447 105003 128337 162091 175005 213895 268341 385011 447235 486273 525015 641685 805023 810455 983917 1155033 1341705 1458819 1783001 1925055 2415069 2431365 2951751 3728093 4025115 4376457 4919585 5349003 5775165 7294095 8855253 8915005 11184279 12075345 14758755 16047009 18640465 21882285 26565759 26745015 33552837 41009023 44276265 48141027 55921395 80235045 100658511 123027069 132828795 167764185 205045115 240705135 369081207 503292555 615135345 630371899 1107243621 1845406035 1891115697 3151859495 5536218105 5673347091 6934090889 9455578485 14498553677 17020041273 20802272667 28366735455 34670454445 43495661031 62406818001 72492768385 85100206365 104011363335 130486983093 159484090447 187220454003 217478305155 312034090005 391460949279 478452271341 652434915465 797420452235 936102270015 1435356814023 1957304746395 2392261356705 4306070442069 7176784070115 21530352210345