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13122164 = 22111753331
BaseRepresentation
bin110010000011…
…101001110100
3220200200020002
4302003221310
511324402124
61145130432
7216352016
oct62035164
926620202
1013122164
117452970
124489a18
1329459c3
141a581b6
1512430ae
hexc83a74

13122164 has 48 divisors (see below), whose sum is σ = 27107136. Its totient is φ = 5491200.

The previous prime is 13122157. The next prime is 13122169. The reversal of 13122164 is 46122131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39479 + ... + 39809.

It is an arithmetic number, because the mean of its divisors is an integer number (564732).

Almost surely, 213122164 is an apocalyptic number.

It is an amenable number.

13122164 is an abundant number, since it is smaller than the sum of its proper divisors (13984972).

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

13122164 is a wasteful number, since it uses less digits than its factorization.

13122164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 13122164 is about 3622.4527602165. The cubic root of 13122164 is about 235.8677081029.

Adding to 13122164 its reverse (46122131), we get a palindrome (59244295).

The spelling of 13122164 in words is "thirteen million, one hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 53 68 106 187 212 331 374 583 662 748 901 1166 1324 1802 2332 3604 3641 5627 7282 9911 11254 14564 17543 19822 22508 35086 39644 61897 70172 123794 192973 247588 298231 385946 596462 771892 1192924 3280541 6561082 13122164