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4106040633313 is a prime number
BaseRepresentation
bin111011110000000011000…
…101111110011111100001
3112112112102000212000021121
4323300003011332133201
51014233132400231223
612422142232452241
7602436341343343
oct73600305763741
915475360760247
104106040633313
1113433a8990a03
1256394084a081
1323a275c2cac8
14102a3a749293
1571c1a6a715d
hex3bc0317e7e1

4106040633313 has 2 divisors, whose sum is σ = 4106040633314. Its totient is φ = 4106040633312.

The previous prime is 4106040633293. The next prime is 4106040633329. The reversal of 4106040633313 is 3133360406014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2710873339729 + 1395167293584 = 1646473^2 + 1181172^2 .

It is a cyclic number.

It is not a de Polignac number, because 4106040633313 - 237 = 3968601679841 is a prime.

It is not a weakly prime, because it can be changed into another prime (4106040333313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2053020316656 + 2053020316657.

It is an arithmetic number, because the mean of its divisors is an integer number (2053020316657).

Almost surely, 24106040633313 is an apocalyptic number.

It is an amenable number.

4106040633313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4106040633313 is an equidigital number, since it uses as much as digits as its factorization.

4106040633313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 4106040633313 in words is "four trillion, one hundred six billion, forty million, six hundred thirty-three thousand, three hundred thirteen".