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30221133030 = 232511210932539
BaseRepresentation
bin11100001001010100…
…011110010011100110
32220000011101121212100
4130021110132103212
5443343102224110
621514451432530
72116623251364
oct341124362346
986004347770
1030221133030
11118a9050600
125a34bb5746
132b0813b44a
14166996c634
15bbd259bc0
hex70951e4e6

30221133030 has 144 divisors (see below), whose sum is σ = 86480568720. Its totient is φ = 7316749440.

The previous prime is 30221133017. The next prime is 30221133083. The reversal of 30221133030 is 3033112203.

30221133030 is a `hidden beast` number, since 302 + 2 + 1 + 1 + 330 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30221132994 and 30221133012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11901501 + ... + 11904039.

It is an arithmetic number, because the mean of its divisors is an integer number (600559505).

Almost surely, 230221133030 is an apocalyptic number.

30221133030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30221133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43240284360).

30221133030 is an abundant number, since it is smaller than the sum of its proper divisors (56259435690).

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

30221133030 is a wasteful number, since it uses less digits than its factorization.

30221133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30221133030 its reverse (3033112203), we get a palindrome (33254245233).

It can be divided in two parts, 302211 and 33030, that added together give a square (335241 = 5792).

The spelling of 30221133030 in words is "thirty billion, two hundred twenty-one million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1093 1210 1815 2178 2186 2539 3279 3630 5078 5445 5465 6558 7617 9837 10890 10930 12023 12695 15234 16395 19674 22851 24046 25390 27929 32790 36069 38085 45702 49185 55858 60115 72138 76170 83787 98370 108207 114255 120230 132253 139645 167574 180345 216414 228510 251361 264506 279290 307219 360690 396759 418935 502722 541035 614438 661265 793518 837870 921657 1082070 1190277 1256805 1322530 1536095 1843314 1983795 2380554 2513610 2764971 2775127 3072190 3967590 4608285 5529942 5550254 5951385 8325381 9216570 11902770 13824855 13875635 16650762 24976143 27649710 27751270 30526397 41626905 49952286 61052794 83253810 91579191 124880715 152631985 183158382 249761430 274737573 305263970 335790367 457895955 549475146 671580734 915791910 1007371101 1373687865 1678951835 2014742202 2747375730 3022113303 3357903670 5036855505 6044226606 10073711010 15110566515 30221133030