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21423312333029 is a prime number
BaseRepresentation
bin1001101111100000000001…
…11010111110100011100101
32210212001022110201112002102
410313300000322332203211
510301444420424124104
6113321422301021445
74340532436155305
oct467600072764345
983761273645072
1021423312333029
11690a637342162
12249bb93b54885
13bc52958a52b9
14540c72a19605
1527240994da1e
hex137c00ebe8e5

21423312333029 has 2 divisors, whose sum is σ = 21423312333030. Its totient is φ = 21423312333028.

The previous prime is 21423312332993. The next prime is 21423312333053. The reversal of 21423312333029 is 92033321332412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11199798492100 + 10223513840929 = 3346610^2 + 3197423^2 .

It is a cyclic number.

It is not a de Polignac number, because 21423312333029 - 228 = 21423043897573 is a prime.

It is a super-2 number, since 2×214233123330292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21423312332983 and 21423312333001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21423312333079) 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, 10711656166514 + 10711656166515.

It is an arithmetic number, because the mean of its divisors is an integer number (10711656166515).

Almost surely, 221423312333029 is an apocalyptic number.

It is an amenable number.

21423312333029 is a deficient number, since it is larger than the sum of its proper divisors (1).

21423312333029 is an equidigital number, since it uses as much as digits as its factorization.

21423312333029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 38.

The spelling of 21423312333029 in words is "twenty-one trillion, four hundred twenty-three billion, three hundred twelve million, three hundred thirty-three thousand, twenty-nine".