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22013101330230 = 235472844339343
BaseRepresentation
bin1010000000101010100110…
…00101011100111100110110
32212221102122212202220000210
411000111103011130330312
510341130312420031410
6114452402410050250
74431252113010003
oct500252305347466
985842585686023
1022013101330230
11701778190316a
122576353119986
13c38a98c07bca
14561622ad28aa
1528292812e220
hex14055315cf36

22013101330230 has 96 divisors (see below), whose sum is σ = 53987198482944. Its totient is φ = 5744436836544.

The previous prime is 22013101330217. The next prime is 22013101330247. The reversal of 22013101330230 is 3203310131022.

It is a junction number, because it is equal to n+sod(n) for n = 22013101330197 and 22013101330206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559497939 + ... + 559537281.

It is an arithmetic number, because the mean of its divisors is an integer number (562366650864).

Almost surely, 222013101330230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013101330230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26993599241472).

22013101330230 is an abundant number, since it is smaller than the sum of its proper divisors (31974097152714).

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

22013101330230 is a wasteful number, since it uses less digits than its factorization.

22013101330230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47890 (or 47843 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22013101330230 its reverse (3203310131022), we get a palindrome (25216411461252).

The spelling of 22013101330230 in words is "twenty-two trillion, thirteen billion, one hundred one million, three hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2209 4418 6627 8443 11045 13254 16886 22090 25329 33135 39343 42215 50658 66270 78686 84430 118029 126645 196715 236058 253290 393430 396821 590145 793642 1180290 1190463 1849121 1984105 2380926 3698242 3968210 5547363 5952315 9245605 11094726 11904630 18491210 18650587 27736815 37301174 55473630 55951761 86908687 93252935 111903522 173817374 186505870 260726061 279758805 332172949 434543435 521452122 559517610 664345898 869086870 996518847 1303630305 1660864745 1993037694 2607260610 3321729490 4982594235 9965188470 15612128603 31224257206 46836385809 78060643015 93672771618 156121286030 234181929045 468363858090 733770044341 1467540088682 2201310133023 3668850221705 4402620266046 7337700443410 11006550665115 22013101330230