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13312134 = 2331173307
BaseRepresentation
bin110010110010…
…000010000110
3221001022211000
4302302002012
511401442014
61153154130
7221102613
oct62620206
927038730
1013312134
117572670
12455b946
1329b1304
141aa750a
15127e509
hexcb2086

13312134 has 64 divisors (see below), whose sum is σ = 32820480. Its totient is φ = 3965760.

The previous prime is 13312133. The next prime is 13312151. The reversal of 13312134 is 43121331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43209 + ... + 43515.

It is an arithmetic number, because the mean of its divisors is an integer number (512820).

Almost surely, 213312134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410240).

13312134 is an abundant number, since it is smaller than the sum of its proper divisors (19508346).

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

13312134 is a wasteful number, since it uses less digits than its factorization.

13312134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13312134 is about 3648.5797236733. The cubic root of 13312134 is about 237.0004806912. Note that the first 3 decimals are identical.

Adding to 13312134 its reverse (43121331), we get a palindrome (56433465).

The spelling of 13312134 in words is "thirteen million, three hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 99 146 198 219 297 307 438 594 614 657 803 921 1314 1606 1842 1971 2409 2763 3377 3942 4818 5526 6754 7227 8289 10131 14454 16578 20262 21681 22411 30393 43362 44822 60786 67233 91179 134466 182358 201699 246521 403398 493042 605097 739563 1210194 1479126 2218689 4437378 6656067 13312134