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4204013129 is a prime number
BaseRepresentation
bin1111101010010100…
…0010011001001001
3101211222120222211222
43322211002121021
532102211410004
61533054331425
7206115344021
oct37245023111
911758528758
104204013129
111868068318
12993ab9b75
1351cc82544
142bc49ca81
151991237be
hexfa942649

4204013129 has 2 divisors, whose sum is σ = 4204013130. Its totient is φ = 4204013128.

The previous prime is 4204013123. The next prime is 4204013237. The reversal of 4204013129 is 9213104024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2158531600 + 2045481529 = 46460^2 + 45227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4204013129 is a prime.

It is a super-3 number, since 3×42040131293 (a number of 30 digits) contains 333 as substring.

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 = 4204013098 and 4204013107.

It is not a weakly prime, because it can be changed into another prime (4204013123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102006564 + 2102006565.

It is an arithmetic number, because the mean of its divisors is an integer number (2102006565).

Almost surely, 24204013129 is an apocalyptic number.

It is an amenable number.

4204013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4204013129 is an equidigital number, since it uses as much as digits as its factorization.

4204013129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4204013129 is about 64838.3615539443. The cubic root of 4204013129 is about 1613.9423631764.

The spelling of 4204013129 in words is "four billion, two hundred four million, thirteen thousand, one hundred twenty-nine".