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3211113137 is a prime number
BaseRepresentation
bin1011111101100101…
…1011001010110001
322021210021110010012
42333121123022301
523034021110022
61250345144305
7142401003611
oct27731331261
98253243105
103211113137
1113a8653911
1275748b095
133c235cc5b
1422667ca41
1513bd95de2
hexbf65b2b1

3211113137 has 2 divisors, whose sum is σ = 3211113138. Its totient is φ = 3211113136.

The previous prime is 3211113133. The next prime is 3211113149. The reversal of 3211113137 is 7313111123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2912652961 + 298460176 = 53969^2 + 17276^2 .

It is a cyclic number.

It is not a de Polignac number, because 3211113137 - 22 = 3211113133 is a prime.

It is a super-2 number, since 2×32111131372 = 20622495157227961538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3211113133) 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 as a sum of consecutive naturals, namely, 1605556568 + 1605556569.

It is an arithmetic number, because the mean of its divisors is an integer number (1605556569).

Almost surely, 23211113137 is an apocalyptic number.

It is an amenable number.

3211113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3211113137 is an equidigital number, since it uses as much as digits as its factorization.

3211113137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 23.

The square root of 3211113137 is about 56666.6845421540. The cubic root of 3211113137 is about 1475.3165096128.

The spelling of 3211113137 in words is "three billion, two hundred eleven million, one hundred thirteen thousand, one hundred thirty-seven".