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2331312409 is a prime number
BaseRepresentation
bin1000101011110101…
…0000000100011001
320000110202221102001
42022331100010121
514233303444114
61023200041001
7111525554116
oct21275200431
96013687361
102331312409
11a96a68578
12550903161
132b1cb95ca
1418189d90d
15d9a09374
hex8af50119

2331312409 has 2 divisors, whose sum is σ = 2331312410. Its totient is φ = 2331312408.

The previous prime is 2331312341. The next prime is 2331312419. The reversal of 2331312409 is 9042131332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2327097600 + 4214809 = 48240^2 + 2053^2 .

It is a cyclic number.

It is not a de Polignac number, because 2331312409 - 221 = 2329215257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2331312419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165656204 + 1165656205.

It is an arithmetic number, because the mean of its divisors is an integer number (1165656205).

Almost surely, 22331312409 is an apocalyptic number.

It is an amenable number.

2331312409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331312409 is an equidigital number, since it uses as much as digits as its factorization.

2331312409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2331312409 is about 48283.6660683507. Note that the first 3 decimals coincide. The cubic root of 2331312409 is about 1325.9693694785.

It can be divided in two parts, 2 and 331312409, that added together give a triangular number (331312411 = T25741).

The spelling of 2331312409 in words is "two billion, three hundred thirty-one million, three hundred twelve thousand, four hundred nine".