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13115130 = 2357192173
BaseRepresentation
bin110010000001…
…111011111010
3220200022120120
4302001323322
511324141010
61145034110
7216322350
oct62017372
926608516
1013115130
117448656
124485936
132942742
141a557d0
151240e70
hexc81efa

13115130 has 96 divisors (see below), whose sum is σ = 38185344. Its totient is φ = 2823552.

The previous prime is 13115117. The next prime is 13115161. The reversal of 13115130 is 3151131.

It is a super-3 number, since 3×131151303 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75724 + ... + 75896.

It is an arithmetic number, because the mean of its divisors is an integer number (397764).

Almost surely, 213115130 is an apocalyptic number.

13115130 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 13115130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092672).

13115130 is an abundant number, since it is smaller than the sum of its proper divisors (25070214).

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

13115130 is a wasteful number, since it uses less digits than its factorization.

13115130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 13115130 is about 3621.4817409453. The cubic root of 13115130 is about 235.8255557569.

Adding to 13115130 its reverse (3151131), we get a palindrome (16266261).

It can be divided in two parts, 1311 and 5130, that added together give a triangular number (6441 = T113).

The spelling of 13115130 in words is "thirteen million, one hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 173 190 210 266 285 346 361 399 519 570 665 722 798 865 1038 1083 1211 1330 1730 1805 1995 2166 2422 2527 2595 3287 3610 3633 3990 5054 5190 5415 6055 6574 7266 7581 9861 10830 12110 12635 15162 16435 18165 19722 23009 25270 32870 36330 37905 46018 49305 62453 69027 75810 98610 115045 124906 138054 187359 230090 312265 345135 374718 437171 624530 690270 874342 936795 1311513 1873590 2185855 2623026 4371710 6557565 13115130