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13141310 = 2572132063
BaseRepresentation
bin110010001000…
…010100111110
3220201122111012
4302020110332
511331010220
61145355222
7216461600
oct62102476
926648435
1013141310
117466296
124498b12
132951630
141a61170
151248ac5
hexc8853e

13141310 has 48 divisors (see below), whose sum is σ = 29647296. Its totient is φ = 4156992.

The previous prime is 13141309. The next prime is 13141351. The reversal of 13141310 is 1314131.

It is a super-2 number, since 2×131413102 = 345388057032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5339 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (617652).

Almost surely, 213141310 is an apocalyptic number.

13141310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13141310 is an abundant number, since it is smaller than the sum of its proper divisors (16505986).

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

13141310 is a wasteful number, since it uses less digits than its factorization.

13141310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 13141310 is about 3625.0944815273. The cubic root of 13141310 is about 235.9823672549.

Adding to 13141310 its reverse (1314131), we get a palindrome (14455441).

The spelling of 13141310 in words is "thirteen million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 2063 3185 4126 6370 10315 14441 20630 26819 28882 53638 72205 101087 134095 144410 187733 202174 268190 375466 505435 938665 1010870 1314131 1877330 2628262 6570655 13141310