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13313103030 = 2335411202629
BaseRepresentation
bin11000110011000010…
…11101010010110110
31021100210221201002000
430121201131102312
5204231123244110
610041014000130
7650624336313
oct143141352266
937323851060
1013313103030
115711999397
1226b6646046
131342209876
1490418dd0a
1552db9d1c0
hex31985d4b6

13313103030 has 64 divisors (see below), whose sum is σ = 36367531200. Its totient is φ = 3463568640.

The previous prime is 13313103029. The next prime is 13313103031. The reversal of 13313103030 is 3030131331.

13313103030 is a `hidden beast` number, since 1 + 331 + 31 + 0 + 303 + 0 = 666.

13313103030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13313103029) and next prime (13313103031).

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 = 13313102994 and 13313103012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313103031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 590245 + ... + 612384.

It is an arithmetic number, because the mean of its divisors is an integer number (568242675).

Almost surely, 213313103030 is an apocalyptic number.

13313103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13313103030 is an abundant number, since it is smaller than the sum of its proper divisors (23054428170).

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

13313103030 is a wasteful number, since it uses less digits than its factorization.

13313103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202686 (or 1202680 counting only the distinct ones).

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

Adding to 13313103030 its reverse (3030131331), we get a palindrome (16343234361).

The spelling of 13313103030 in words is "thirteen billion, three hundred thirteen million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 1202629 2405258 3607887 6013145 7215774 10823661 12026290 18039435 21647322 32470983 36078870 49307789 54118305 64941966 98615578 108236610 147923367 162354915 246538945 295846734 324709830 443770101 493077890 739616835 887540202 1331310303 1479233670 2218850505 2662620606 4437701010 6656551515 13313103030