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13022333301330 = 2345373531230913
BaseRepresentation
bin1011110101111111111110…
…0011001111001001010010
31201002220220210112210020000
42331133333203033021102
53201324214311120310
643410213300430430
72512555362465153
oct275377743171122
951086823483200
1013022333301330
114170816725621
1215639950a8416
13736001897a12
143303da16792a
15178b1a1a14c0
hexbd7ff8cf252

13022333301330 has 160 divisors (see below), whose sum is σ = 36063879668784. Its totient is φ = 3369193242624.

The previous prime is 13022333301311. The next prime is 13022333301331. The reversal of 13022333301330 is 3310333322031.

13022333301330 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 23 + 3 + 3 + 301 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11617674557841 + 1404658743489 = 3408471^2 + 1185183^2 .

It is a super-2 number, since 2×130223333013302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13022333301294 and 13022333301303.

It is not an unprimeable number, because it can be changed into a prime (13022333301331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9963954 + ... + 11194866.

Almost surely, 213022333301330 is an apocalyptic number.

13022333301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022333301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031939834392).

13022333301330 is an abundant number, since it is smaller than the sum of its proper divisors (23041546367454).

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

13022333301330 is a wasteful number, since it uses less digits than its factorization.

13022333301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231322 (or 1231313 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13022333301330 its reverse (3310333322031), we get a palindrome (16332666623361).

The spelling of 13022333301330 in words is "thirteen trillion, twenty-two billion, three hundred thirty-three million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 353 370 405 555 666 706 810 999 1059 1110 1665 1765 1998 2118 2997 3177 3330 3530 4995 5295 5994 6354 9531 9990 10590 13061 14985 15885 19062 26122 28593 29970 31770 39183 47655 57186 65305 78366 95310 117549 130610 142965 195915 235098 285930 352647 391830 587745 705294 1057941 1175490 1230913 1763235 2115882 2461826 3526470 3692739 5289705 6154565 7385478 10579410 11078217 12309130 18463695 22156434 33234651 36927390 45543781 55391085 66469302 91087562 99703953 110782170 136631343 166173255 199407906 227718905 273262686 332346510 409894029 434512289 455437810 498519765 683156715 819788058 869024578 997039530 1229682087 1303536867 1366313430 2049470145 2172561445 2459364174 2607073734 3689046261 3910610601 4098940290 4345122890 6148410435 6517684335 7378092522 7821221202 11731831803 12296820870 13035368670 16076954693 18445231305 19553053005 23463663606 32153909386 35195495409 36890462610 39106106010 48230864079 58659159015 70390990818 80384773465 96461728158 117318318030 144692592237 160769546930 175977477045 241154320395 289385184474 351954954090 434077776711 482308640790 723462961185 868155553422 1302233330133 1446925922370 2170388883555 2604466660266 4340777767110 6511166650665 13022333301330