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231232313129 is a prime number
BaseRepresentation
bin1101011101011010000…
…1010001011100101001
3211002211222101120200112
43113112201101130221
512242030433010004
6254120542544105
722464103142336
oct3272641213451
9732758346615
10231232313129
118a079681334
1238993298035
1318a60ab052c
14b29806b98d
15603536ce6e
hex35d6851729

231232313129 has 2 divisors, whose sum is σ = 231232313130. Its totient is φ = 231232313128.

The previous prime is 231232313099. The next prime is 231232313183. The reversal of 231232313129 is 921313232132.

231232313129 is digitally balanced in base 2, 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., 150564952729 + 80667360400 = 388027^2 + 284020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231232313129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231232313095 and 231232313104.

It is not a weakly prime, because it can be changed into another prime (231232313029) 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, 115616156564 + 115616156565.

It is an arithmetic number, because the mean of its divisors is an integer number (115616156565).

Almost surely, 2231232313129 is an apocalyptic number.

It is an amenable number.

231232313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

231232313129 is an equidigital number, since it uses as much as digits as its factorization.

231232313129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 32.

The spelling of 231232313129 in words is "two hundred thirty-one billion, two hundred thirty-two million, three hundred thirteen thousand, one hundred twenty-nine".