Search a number
-
+
13122369 = 3213195903
BaseRepresentation
bin110010000011…
…101101000001
3220200200111200
4302003231001
511324403434
61145131413
7216352431
oct62035501
926620450
1013122369
117453037
124489b69
132945b20
141a582c1
151243199
hexc83b41

13122369 has 24 divisors (see below), whose sum is σ = 21490560. Its totient is φ = 7648992.

The previous prime is 13122349. The next prime is 13122371. The reversal of 13122369 is 96322131.

It is not a de Polignac number, because 13122369 - 211 = 13120321 is a prime.

It is a super-2 number, since 2×131223692 = 344393136344322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (895440).

Almost surely, 213122369 is an apocalyptic number.

13122369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13122369 is a deficient number, since it is larger than the sum of its proper divisors (8368191).

13122369 is a wasteful number, since it uses less digits than its factorization.

13122369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5938 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13122369 is about 3622.4810558511. The cubic root of 13122369 is about 235.8689363716.

It can be divided in two parts, 131 and 22369, that added together give a square (22500 = 1502).

The spelling of 13122369 in words is "thirteen million, one hundred twenty-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 5903 17709 53127 76739 112157 230217 336471 690651 1009413 1458041 4374123 13122369