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13155129 = 34132312
BaseRepresentation
bin110010001011…
…101100111001
3220202100110000
4302023230321
511331431004
61145543213
7216550101
oct62135471
926670400
1013155129
117475709
1244a4b09
132957a00
141a66201
15124cc39
hexc8bb39

13155129 has 45 divisors (see below), whose sum is σ = 21987999. Its totient is φ = 7834320.

The previous prime is 13155083. The next prime is 13155133. The reversal of 13155129 is 92155131.

The square root of 13155129 is 3627.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1946025 + 11209104 = 1395^2 + 3348^2 .

It is not a de Polignac number, because 13155129 - 211 = 13153081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13155139) 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 44 ways as a sum of consecutive naturals, for example, 424344 + ... + 424374.

Almost surely, 213155129 is an apocalyptic number.

13155129 is the 3627-th square number.

13155129 is the 1814-th centered octagonal number.

It is an amenable number.

13155129 is a deficient number, since it is larger than the sum of its proper divisors (8832870).

13155129 is an equidigital number, since it uses as much as digits as its factorization.

13155129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The cubic root of 13155129 is about 236.0650555594.

The spelling of 13155129 in words is "thirteen million, one hundred fifty-five thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 27 31 39 81 93 117 169 279 351 403 507 837 961 1053 1209 1521 2511 2883 3627 4563 5239 8649 10881 12493 13689 15717 25947 32643 37479 47151 77841 112437 141453 162409 337311 424359 487227 1011933 1461681 4385043 13155129