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123143409 = 381372
BaseRepresentation
bin1110101011100…
…00010011110001
322120201100000000
413111300103301
5223011042114
620115220213
73023462454
oct725602361
9276640000
10123143409
1163569514
12352a7669
131c68792c
14124d749b
15ac26e09
hex75704f1

123143409 has 27 divisors (see below), whose sum is σ = 186063787. Its totient is φ = 81496368.

The previous prime is 123143407. The next prime is 123143429. The reversal of 123143409 is 904341321.

The square root of 123143409 is 11097.

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

123143409 is a `hidden beast` number, since 1 + 2 + 314 + 340 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72335025 + 50808384 = 8505^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 123143409 - 21 = 123143407 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123143407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 898789 + ... + 898925.

Almost surely, 2123143409 is an apocalyptic number.

123143409 is the 11097-th square number.

123143409 is the 5549-th centered octagonal number.

It is an amenable number.

123143409 is a deficient number, since it is larger than the sum of its proper divisors (62920378).

123143409 is an frugal number, since it uses more digits than its factorization.

123143409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 123143409 is about 497.5121874408.

The spelling of 123143409 in words is "one hundred twenty-three million, one hundred forty-three thousand, four hundred nine".

Divisors: 1 3 9 27 81 137 243 411 729 1233 2187 3699 6561 11097 18769 33291 56307 99873 168921 299619 506763 898857 1520289 4560867 13682601 41047803 123143409