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231232313029 is a prime number
BaseRepresentation
bin1101011101011010000…
…1010001011011000101
3211002211222101120112211
43113112201101123011
512242030433004104
6254120542543421
722464103142134
oct3272641213305
9732758346484
10231232313029
118a079681253
1238993297b71
1318a60ab0483
14b29806b91b
15603536ce04
hex35d68516c5

231232313029 has 2 divisors, whose sum is σ = 231232313030. Its totient is φ = 231232313028.

The previous prime is 231232312999. The next prime is 231232313069. The reversal of 231232313029 is 920313232132.

231232313029 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., 221111550625 + 10120762404 = 470225^2 + 100602^2 .

It is a cyclic number.

It is not a de Polignac number, because 231232313029 - 27 = 231232312901 is a prime.

It is a super-3 number, since 3×2312323130293 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231232313069) 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, 115616156514 + 115616156515.

It is an arithmetic number, because the mean of its divisors is an integer number (115616156515).

Almost surely, 2231232313029 is an apocalyptic number.

It is an amenable number.

231232313029 is a deficient number, since it is larger than the sum of its proper divisors (1).

231232313029 is an equidigital number, since it uses as much as digits as its factorization.

231232313029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 231232313029 in words is "two hundred thirty-one billion, two hundred thirty-two million, three hundred thirteen thousand, twenty-nine".