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3405331123037 is a prime number
BaseRepresentation
bin110001100011011101100…
…011010100101101011101
3110001112202101021202102022
4301203131203110231131
5421243104231414122
611124215412105525
7501012164645624
oct61433543245535
913045671252368
103405331123037
1110a3213707788
1246bb866052a5
131b91767a3acc
14bab671126bb
155d8a919e642
hex318dd8d4b5d

3405331123037 has 2 divisors, whose sum is σ = 3405331123038. Its totient is φ = 3405331123036.

The previous prime is 3405331123027. The next prime is 3405331123067. The reversal of 3405331123037 is 7303211335043.

3405331123037 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3117269205241 + 288061917796 = 1765579^2 + 536714^2 .

It is a cyclic number.

It is not a de Polignac number, because 3405331123037 - 228 = 3405062687581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3405331122988 and 3405331123006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3405331123027) 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, 1702665561518 + 1702665561519.

It is an arithmetic number, because the mean of its divisors is an integer number (1702665561519).

Almost surely, 23405331123037 is an apocalyptic number.

It is an amenable number.

3405331123037 is a deficient number, since it is larger than the sum of its proper divisors (1).

3405331123037 is an equidigital number, since it uses as much as digits as its factorization.

3405331123037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 35.

The spelling of 3405331123037 in words is "three trillion, four hundred five billion, three hundred thirty-one million, one hundred twenty-three thousand, thirty-seven".