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221324321130 = 2351131127170353
BaseRepresentation
bin1100111000011111110…
…1010010000101101010
3210011021110202102210220
43032013331102011222
512111233011234010
6245401444150510
721663423455313
oct3160775220552
9704243672726
10221324321130
118595489a2a0
1236a89098436
1317b42198c83
14a9d821960a
155b555d6970
hex3387f5216a

221324321130 has 128 divisors (see below), whose sum is σ = 602873266176. Its totient is φ = 51514444800.

The previous prime is 221324321129. The next prime is 221324321167. The reversal of 221324321130 is 31123423122.

221324321130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221324321130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214034 + ... + 1384386.

It is an arithmetic number, because the mean of its divisors is an integer number (4709947392).

Almost surely, 2221324321130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221324321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301436633088).

221324321130 is an abundant number, since it is smaller than the sum of its proper divisors (381548945046).

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

221324321130 is a wasteful number, since it uses less digits than its factorization.

221324321130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170532.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221324321130 its reverse (31123423122), we get a palindrome (252447744252).

The spelling of 221324321130 in words is "two hundred twenty-one billion, three hundred twenty-four million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 127 155 165 186 254 310 330 341 381 465 635 682 762 930 1023 1270 1397 1705 1905 2046 2794 3410 3810 3937 4191 5115 6985 7874 8382 10230 11811 13970 19685 20955 23622 39370 41910 43307 59055 86614 118110 129921 170353 216535 259842 340706 433070 511059 649605 851765 1022118 1299210 1703530 1873883 2555295 3747766 5110590 5280943 5621649 9369415 10561886 11243298 15842829 18738830 21634831 26404715 28108245 31685658 43269662 52809430 56216490 58090373 64904493 79214145 108174155 116180746 129808986 158428290 174271119 216348310 237983141 290451865 324522465 348542238 475966282 580903730 649044930 670679761 713949423 871355595 1189915705 1341359522 1427898846 1742711190 2012039283 2379831410 3353398805 3569747115 4024078566 6706797610 7139494230 7377477371 10060196415 14754954742 20120392830 22132432113 36887386855 44264864226 73774773710 110662160565 221324321130