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13220133030 = 23251386313093
BaseRepresentation
bin11000100111111101…
…10011100010100110
31021010100000100012200
430103332303202212
5204033323224110
610023453155330
7645415163616
oct142376634246
937110010180
1013220133030
115674469685
12268b48bb46
131328b87b30
148d5aaca46
155259366c0
hex313fb38a6

13220133030 has 96 divisors (see below), whose sum is σ = 37062095616. Its totient is φ = 3250167552.

The previous prime is 13220133001. The next prime is 13220133037. The reversal of 13220133030 is 3033102231.

13220133030 is a `hidden beast` number, since 132 + 201 + 330 + 3 + 0 = 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 = 13220132994 and 13220133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220133037) by changing a digit.

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, 1003164 + ... + 1016256.

It is an arithmetic number, because the mean of its divisors is an integer number (386063496).

Almost surely, 213220133030 is an apocalyptic number.

13220133030 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 13220133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531047808).

13220133030 is an abundant number, since it is smaller than the sum of its proper divisors (23841962586).

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

13220133030 is a wasteful number, since it uses less digits than its factorization.

13220133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982 (or 13979 counting only the distinct ones).

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

Adding to 13220133030 its reverse (3033102231), we get a palindrome (16253235261).

The spelling of 13220133030 in words is "thirteen billion, two hundred twenty million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 863 1170 1726 2589 4315 5178 7767 8630 11219 12945 13093 15534 22438 25890 26186 33657 38835 39279 56095 65465 67314 77670 78558 100971 112190 117837 130930 168285 170209 196395 201942 235674 336570 340418 392790 504855 510627 589185 851045 1009710 1021254 1178370 1531881 1702090 2553135 3063762 5106270 7659405 11299259 15318810 22598518 33897777 56496295 67795554 101693331 112992590 146890367 169488885 203386662 293780734 338977770 440671101 508466655 734451835 881342202 1016933310 1322013303 1468903670 2203355505 2644026606 4406711010 6610066515 13220133030