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13102164 = 2232363949
BaseRepresentation
bin110001111110…
…110001010100
3220122122210100
4301332301110
511323232124
61144454100
7216236505
oct61766124
926578710
1013102164
117439939
12447a330
13293987a
141a50bac
15123c1c9
hexc7ec54

13102164 has 18 divisors (see below), whose sum is σ = 33119450. Its totient is φ = 4367376.

The previous prime is 13102163. The next prime is 13102207. The reversal of 13102164 is 46120131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6812100 + 6290064 = 2610^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 (13102163) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 181939 + ... + 182010.

Almost surely, 213102164 is an apocalyptic number.

It is an amenable number.

13102164 is an abundant number, since it is smaller than the sum of its proper divisors (20017286).

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

13102164 is a wasteful number, since it uses less digits than its factorization.

13102164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363959 (or 363954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13102164 is about 3619.6911470456. The cubic root of 13102164 is about 235.7478154585.

Adding to 13102164 its reverse (46120131), we get a palindrome (59222295).

The spelling of 13102164 in words is "thirteen million, one hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 363949 727898 1091847 1455796 2183694 3275541 4367388 6551082 13102164