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221321032123230 = 232513354869533051
BaseRepresentation
bin110010010100101001010001…
…100000000100001101011110
31002000122002021021002120121100
4302110221101200010031132
5213002110433210420410
62102413251210413530
764421626332166464
oct6224512140041536
91060562237076540
10221321032123230
11645797a4895aa6
12209a55b9a312a6
139665639b1b380
143c91dd0822834
151a8c1044e08c0
hexc94a5180435e

221321032123230 has 96 divisors (see below), whose sum is σ = 619701798774240. Its totient is φ = 54478767571200.

The previous prime is 221321032123229. The next prime is 221321032123297. The reversal of 221321032123230 is 32321230123122.

221321032123230 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 10 + 321 + 2 + 323 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221321032123194 and 221321032123203.

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, 414930205 + ... + 415463255.

It is an arithmetic number, because the mean of its divisors is an integer number (6455227070565).

Almost surely, 2221321032123230 is an apocalyptic number.

221321032123230 is an abundant number, since it is smaller than the sum of its proper divisors (398380766651010).

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

221321032123230 is a wasteful number, since it uses less digits than its factorization.

221321032123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887946 (or 887943 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221321032123230 its reverse (32321230123122), we get a palindrome (253642262246352).

The spelling of 221321032123230 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, thirty-two million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 354869 533051 709738 1064607 1066102 1599153 1774345 2129214 2665255 3193821 3198306 3548690 4613297 4797459 5323035 5330510 6387642 6929663 7995765 9226594 9594918 10646070 13839891 13859326 15969105 15991530 20788989 23066485 23987295 27679782 31938210 34648315 41519673 41577978 46132970 47974590 62366967 69199455 69296630 83039346 103944945 124733934 138398910 207598365 207889890 311834835 415196730 623669670 189163275319 378326550638 567489825957 945816376595 1134979651914 1702469477871 1891632753190 2459122579147 2837449129785 3404938955742 4918245158294 5674898259570 7377367737441 8512347389355 12295612895735 14754735474882 17024694778710 22132103212323 24591225791470 36886838687205 44264206424646 73773677374410 110660516061615 221321032123230