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201310133223030 = 235134911399751453
BaseRepresentation
bin101101110001011100101010…
…111110101111111001110110
3222101210001122022102120120020
4231301130222332233321312
5202341231123101114110
61552052333135150010
760255114524054406
oct5561345276577166
9871701568376506
10201310133223030
115916416a072a27
121a6b3304375306
13884360584a280
14379d668cd0806
1518418128dad70
hexb7172afafe76

201310133223030 has 128 divisors (see below), whose sum is σ = 521742327321600. Its totient is φ = 49416926307840.

The previous prime is 201310133222999. The next prime is 201310133223037. The reversal of 201310133223030 is 30322331013102.

It is a super-3 number, since 3×2013101332230303 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201310133223037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267518784 + ... + 268270236.

It is an arithmetic number, because the mean of its divisors is an integer number (4076111932200).

Almost surely, 2201310133223030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201310133223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260871163660800).

201310133223030 is an abundant number, since it is smaller than the sum of its proper divisors (320432194098570).

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

201310133223030 is a wasteful number, since it uses less digits than its factorization.

201310133223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753366.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 201310133223030 its reverse (30322331013102), we get a palindrome (231632464236132).

The spelling of 201310133223030 in words is "two hundred one trillion, three hundred ten billion, one hundred thirty-three million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 491 982 1399 1473 2455 2798 2946 4197 4910 6383 6995 7365 8394 12766 13990 14730 18187 19149 20985 31915 36374 38298 41970 54561 63830 90935 95745 109122 181870 191490 272805 545610 686909 751453 1373818 1502906 2060727 2254359 3434545 3757265 4121454 4508718 6869090 7514530 8929817 9768889 10303635 11271795 17859634 19537778 20607270 22543590 26789451 29306667 44649085 48844445 53578902 58613334 89298170 97688890 133947255 146533335 267894510 293066670 368963423 737926846 1051282747 1106890269 1844817115 2102565494 2213780538 3153848241 3689634230 4796524499 5256413735 5534451345 6307696482 9593048998 10512827470 11068902690 13666675711 14389573497 15769241205 23982622495 27333351422 28779146994 31538482410 41000027133 47965244990 68333378555 71947867485 82000054266 136666757110 143895734970 205000135665 410000271330 516179828777 1032359657554 1548539486331 2580899143885 3097078972662 5161798287770 6710337774101 7742697431655 13420675548202 15485394863310 20131013322303 33551688870505 40262026644606 67103377741010 100655066611515 201310133223030