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13141312 = 2619101107
BaseRepresentation
bin110010001000…
…010101000000
3220201122111021
4302020111000
511331010222
61145355224
7216461602
oct62102500
926648437
1013141312
117466298
124498b14
132951632
141a61172
151248ac7
hexc88540

13141312 has 56 divisors (see below), whose sum is σ = 27980640. Its totient is φ = 6105600.

The previous prime is 13141309. The next prime is 13141351. The reversal of 13141312 is 21314131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122763 + ... + 122869.

Almost surely, 213141312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320).

13141312 is an abundant number, since it is smaller than the sum of its proper divisors (14839328).

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

13141312 is a wasteful number, since it uses less digits than its factorization.

13141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 13141312 is about 3625.0947573822. The cubic root of 13141312 is about 235.9823792264.

Adding to 13141312 its reverse (21314131), we get a palindrome (34455443).

It can be divided in two parts, 1314131 and 2, that multiplied together give a palindrome (2628262).

The spelling of 13141312 in words is "thirteen million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 107 152 202 214 304 404 428 608 808 856 1216 1616 1712 1919 2033 3232 3424 3838 4066 6464 6848 7676 8132 10807 15352 16264 21614 30704 32528 43228 61408 65056 86456 122816 130112 172912 205333 345824 410666 691648 821332 1642664 3285328 6570656 13141312