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13122135 = 335137477
BaseRepresentation
bin110010000011…
…101001010111
3220200200012000
4302003221113
511324402020
61145130343
7216351645
oct62035127
926620160
1013122135
117452944
1244899b3
1329459a0
141a58195
151243090
hexc83a57

13122135 has 32 divisors (see below), whose sum is σ = 25126080. Its totient is φ = 6459264.

The previous prime is 13122133. The next prime is 13122157. The reversal of 13122135 is 53122131.

13122135 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13122135 - 21 = 13122133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122133) 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, 1984 + ... + 5493.

It is an arithmetic number, because the mean of its divisors is an integer number (785190).

Almost surely, 213122135 is an apocalyptic number.

13122135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13122135 is a deficient number, since it is larger than the sum of its proper divisors (12003945).

13122135 is a wasteful number, since it uses less digits than its factorization.

13122135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7498 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13122135 is about 3622.4487574015. The cubic root of 13122135 is about 235.8675343468.

Adding to 13122135 its reverse (53122131), we get a palindrome (66244266).

The spelling of 13122135 in words is "thirteen million, one hundred twenty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 7477 22431 37385 67293 97201 112155 201879 291603 336465 486005 874809 1009395 1458015 2624427 4374045 13122135