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2331320129 is a prime number
BaseRepresentation
bin1000101011110101…
…0001111101000001
320000110210022222222
42022331101331001
514233304221004
61023200140425
7111525615455
oct21275217501
96013708888
102331320129
11a96a73356
12550907715
132b1cbcc88
141818a2665
15d9a0b7be
hex8af51f41

2331320129 has 2 divisors, whose sum is σ = 2331320130. Its totient is φ = 2331320128.

The previous prime is 2331320113. The next prime is 2331320137. The reversal of 2331320129 is 9210231332.

2331320129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1688799025 + 642521104 = 41095^2 + 25348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2331320129 - 24 = 2331320113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2331320098 and 2331320107.

It is not a weakly prime, because it can be changed into another prime (2331320029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165660064 + 1165660065.

It is an arithmetic number, because the mean of its divisors is an integer number (1165660065).

Almost surely, 22331320129 is an apocalyptic number.

It is an amenable number.

2331320129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331320129 is an equidigital number, since it uses as much as digits as its factorization.

2331320129 is an evil number, because the sum of its binary digits is even.

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

The square root of 2331320129 is about 48283.7460125040. The cubic root of 2331320129 is about 1325.9708330994.

The spelling of 2331320129 in words is "two billion, three hundred thirty-one million, three hundred twenty thousand, one hundred twenty-nine".