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3145405131 = 3211271117239
BaseRepresentation
bin1011101101111011…
…0001001011001011
322010012122010200100
42323132301023023
522420210431011
61240040540443
7140642334231
oct27336611313
98105563610
103145405131
111374554480
12739481723
133b1864b8b
1421ba56951
15136216d56
hexbb7b12cb

3145405131 has 24 divisors (see below), whose sum is σ = 4974727680. Its totient is φ = 1899255600.

The previous prime is 3145405121. The next prime is 3145405139. The reversal of 3145405131 is 1315045413.

It is a happy number.

3145405131 is a `hidden beast` number, since 3 + 145 + 4 + 0 + 513 + 1 = 666.

It is not a de Polignac number, because 3145405131 - 25 = 3145405099 is a prime.

It is a super-2 number, since 2×31454051312 = 19787146876242254322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3145405095 and 3145405104.

It is not an unprimeable number, because it can be changed into a prime (3145405139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31791 + ... + 85448.

It is an arithmetic number, because the mean of its divisors is an integer number (207280320).

Almost surely, 23145405131 is an apocalyptic number.

3145405131 is a deficient number, since it is larger than the sum of its proper divisors (1829322549).

3145405131 is a wasteful number, since it uses less digits than its factorization.

3145405131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117527 (or 117524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3145405131 is about 56083.9115165838. The cubic root of 3145405131 is about 1465.1840995291.

The spelling of 3145405131 in words is "three billion, one hundred forty-five million, four hundred five thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 271 813 2439 2981 8943 26829 117239 351717 1055151 1289629 3868887 11606661 31771769 95315307 285945921 349489459 1048468377 3145405131