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13130103330 = 2325199779159
BaseRepresentation
bin11000011101001110…
…10111101000100010
31020220001121100200100
430032213113220202
5203342301301310
610010515403230
7643243015431
oct141647275042
936801540610
1013130103330
115628667a73
1226652b3516
131313325516
148c7b55118
1551caa0ec0
hex30e9d7a22

13130103330 has 96 divisors (see below), whose sum is σ = 36305942400. Its totient is φ = 3282840576.

The previous prime is 13130103313. The next prime is 13130103359. The reversal of 13130103330 is 3330103131.

13130103330 is a `hidden beast` number, since 1 + 31 + 301 + 0 + 3 + 330 = 666.

13130103330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131301033302 (a number of 21 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 126291 + ... + 205449.

It is an arithmetic number, because the mean of its divisors is an integer number (378186900).

Almost surely, 213130103330 is an apocalyptic number.

13130103330 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 13130103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18152971200).

13130103330 is an abundant number, since it is smaller than the sum of its proper divisors (23175839070).

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

13130103330 is a wasteful number, since it uses less digits than its factorization.

13130103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79288 (or 79285 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13130103330 its reverse (3330103131), we get a palindrome (16460206461).

The spelling of 13130103330 in words is "thirteen billion, one hundred thirty million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 97 114 171 190 194 285 291 342 485 570 582 855 873 970 1455 1710 1746 1843 2910 3686 4365 5529 8730 9215 11058 16587 18430 27645 33174 55290 79159 82935 158318 165870 237477 395795 474954 712431 791590 1187385 1424862 1504021 2374770 3008042 3562155 4512063 7124310 7520105 7678423 9024126 13536189 15040210 15356846 22560315 23035269 27072378 38392115 45120630 46070538 67680945 69105807 76784230 115176345 135361890 138211614 145890037 230352690 291780074 345529035 437670111 691058070 729450185 875340222 1313010333 1458900370 2188350555 2626020666 4376701110 6565051665 13130103330