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36121429 is a prime number
BaseRepresentation
bin1000100111001…
…0101101010101
32111222011021201
42021302231111
533221341204
63330112501
7616012201
oct211625525
974864251
1036121429
1119431623
121011b731
137639336
144b23b01
1532879a4
hex2272b55

36121429 has 2 divisors, whose sum is σ = 36121430. Its totient is φ = 36121428.

The previous prime is 36121411. The next prime is 36121433. The reversal of 36121429 is 92412163.

36121429 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., 35724529 + 396900 = 5977^2 + 630^2 .

It is a cyclic number.

It is not a de Polignac number, because 36121429 - 213 = 36113237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36121397 and 36121406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36121439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18060714 + 18060715.

It is an arithmetic number, because the mean of its divisors is an integer number (18060715).

Almost surely, 236121429 is an apocalyptic number.

It is an amenable number.

36121429 is a deficient number, since it is larger than the sum of its proper divisors (1).

36121429 is an equidigital number, since it uses as much as digits as its factorization.

36121429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 36121429 is about 6010.1105647068. The cubic root of 36121429 is about 330.5635580024.

It can be divided in two parts, 3612 and 1429, that added together give a square (5041 = 712).

The spelling of 36121429 in words is "thirty-six million, one hundred twenty-one thousand, four hundred twenty-nine".