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13442431131 = 3217471869341
BaseRepresentation
bin11001000010011101…
…10011100010011011
31021200211022020212200
430201032303202123
5210012230244011
610101513541243
7654054531213
oct144116634233
937624266780
1013442431131
1157789a1518
122731a14823
131362c4b57c
14917417243
1553a1e7856
hex3213b389b

13442431131 has 24 divisors (see below), whose sum is σ = 20996449344. Its totient is φ = 8255005440.

The previous prime is 13442431099. The next prime is 13442431139. The reversal of 13442431131 is 13113424431.

13442431131 is a `hidden beast` number, since 1 + 344 + 2 + 4 + 311 + 3 + 1 = 666.

13442431131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13442431131 - 25 = 13442431099 is a prime.

It is a super-2 number, since 2×134424311312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13442431095 and 13442431104.

It is not an unprimeable number, because it can be changed into a prime (13442431139) 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 23 ways as a sum of consecutive naturals, for example, 927480 + ... + 941861.

It is an arithmetic number, because the mean of its divisors is an integer number (874852056).

Almost surely, 213442431131 is an apocalyptic number.

13442431131 is a deficient number, since it is larger than the sum of its proper divisors (7554018213).

13442431131 is a wasteful number, since it uses less digits than its factorization.

13442431131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869411 (or 1869408 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 13442431131 its reverse (13113424431), we get a palindrome (26555855562).

The spelling of 13442431131 in words is "thirteen billion, four hundred forty-two million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 17 47 51 141 153 423 799 2397 7191 1869341 5608023 16824069 31778797 87859027 95336391 263577081 286009173 790731243 1493603459 4480810377 13442431131