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13031316 = 223217107199
BaseRepresentation
bin110001101101…
…011110010100
3220112001121100
4301231132110
511314000231
61143150100
7215523114
oct61553624
926461540
1013031316
1173a0691
124445330
13291354c
141a33044
1512261e6
hexc6d794

13031316 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4029696.

The previous prime is 13031309. The next prime is 13031329. The reversal of 13031316 is 61313031.

13031316 = T368 + T369 + ... + T503.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 65385 + ... + 65583.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 213031316 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 13031316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13031316 is an abundant number, since it is smaller than the sum of its proper divisors (22349484).

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

13031316 is a wasteful number, since it uses less digits than its factorization.

13031316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13031316 is about 3609.8914111092. The cubic root of 13031316 is about 235.3221235145.

Adding to 13031316 its reverse (61313031), we get a palindrome (74344347).

The spelling of 13031316 in words is "thirteen million, thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 199 204 214 306 321 398 428 597 612 642 796 963 1194 1284 1791 1819 1926 2388 3383 3582 3638 3852 5457 6766 7164 7276 10149 10914 13532 16371 20298 21293 21828 30447 32742 40596 42586 60894 63879 65484 85172 121788 127758 191637 255516 361981 383274 723962 766548 1085943 1447924 2171886 3257829 4343772 6515658 13031316