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3122133209 = 132166911069
BaseRepresentation
bin1011101000010111…
…1111100011011001
322001120211210121022
42322011333203121
522343231230314
61233450052225
7140240460116
oct27205774331
98046753538
103122133209
1113623a9988
1273171a075
133a9aa7400
1421891990d
1513416b78e
hexba17f8d9

3122133209 has 12 divisors (see below), whose sum is σ = 3383102700. Its totient is φ = 2879982144.

The previous prime is 3122133199. The next prime is 3122133211. The reversal of 3122133209 is 9023312213.

It can be written as a sum of positive squares in 6 ways, for example, as 1028613184 + 2093520025 = 32072^2 + 45755^2 .

It is not a de Polignac number, because 3122133209 - 24 = 3122133193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3122133269) 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 11 ways as a sum of consecutive naturals, for example, 276527 + ... + 287595.

It is an arithmetic number, because the mean of its divisors is an integer number (281925225).

Almost surely, 23122133209 is an apocalyptic number.

It is an amenable number.

3122133209 is a deficient number, since it is larger than the sum of its proper divisors (260969491).

3122133209 is a wasteful number, since it uses less digits than its factorization.

3122133209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764 (or 12751 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 3122133209 is about 55876.0521959095. The cubic root of 3122133209 is about 1461.5616631144.

The spelling of 3122133209 in words is "three billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred nine".

Divisors: 1 13 169 1669 11069 21697 143897 282061 1870661 18474161 240164093 3122133209