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13442123331 = 3271316412849
BaseRepresentation
bin11001000010011011…
…01000011001000011
31021200210201121122200
430201031220121003
5210012140421311
610101503204243
7654052106640
oct144115503103
937623647580
1013442123331
11577880123a
1227318a6683
131362b71440
14917376dc7
1553a186556
hex321368643

13442123331 has 24 divisors (see below), whose sum is σ = 23897109600. Its totient is φ = 7090350336.

The previous prime is 13442123323. The next prime is 13442123339. The reversal of 13442123331 is 13332124431.

It is a happy number.

13442123331 is a `hidden beast` number, since 1 + 3 + 4 + 421 + 233 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13442123323) and next prime (13442123339).

It is not a de Polignac number, because 13442123331 - 23 = 13442123323 is a prime.

It is a super-2 number, since 2×134421233312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13442123295 and 13442123304.

It is not an unprimeable number, because it can be changed into a prime (13442123339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8205606 + ... + 8207243.

It is an arithmetic number, because the mean of its divisors is an integer number (995712900).

Almost surely, 213442123331 is an apocalyptic number.

13442123331 is a deficient number, since it is larger than the sum of its proper divisors (10454986269).

13442123331 is a wasteful number, since it uses less digits than its factorization.

13442123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16412875 (or 16412872 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13442123331 its reverse (13332124431), we get a palindrome (26774247762).

The spelling of 13442123331 in words is "thirteen billion, four hundred forty-two million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 16412849 49238547 114889943 147715641 213367037 344669829 640101111 1034009487 1493569259 1920303333 4480707777 13442123331