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123141321 = 32101135469
BaseRepresentation
bin1110101011011…
…11110011001001
322120201020010200
413111233303021
5223011010241
620115202413
73023453412
oct725576311
9276636120
10123141321
1163567996
12352a6409
131c6869b4
14124d6809
15ac264b6
hex756fcc9

123141321 has 12 divisors (see below), whose sum is σ = 179633220. Its totient is φ = 81280800.

The previous prime is 123141307. The next prime is 123141349.

123141321 is a `hidden beast` number, since 1 + 231 + 413 + 21 = 666.

123141321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 88566921 + 34574400 = 9411^2 + 5880^2 .

It is not a de Polignac number, because 123141321 - 26 = 123141257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123141294 and 123141303.

It is not an unprimeable number, because it can be changed into a prime (123141301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66826 + ... + 68643.

It is an arithmetic number, because the mean of its divisors is an integer number (14969435).

Almost surely, 2123141321 is an apocalyptic number.

It is an amenable number.

123141321 is a deficient number, since it is larger than the sum of its proper divisors (56491899).

123141321 is a wasteful number, since it uses less digits than its factorization.

123141321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135576 (or 135573 counting only the distinct ones).

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

The square root of 123141321 is about 11096.9059201203. The cubic root of 123141321 is about 497.5093755125.

The spelling of 123141321 in words is "one hundred twenty-three million, one hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 101 303 909 135469 406407 1219221 13682369 41047107 123141321