Search a number
-
+
32004412129 is a prime number
BaseRepresentation
bin11101110011100111…
…001001001011100001
310001121102221120220101
4131303213021023201
51011021112142004
622411433342401
72212046004664
oct356347111341
9101542846811
1032004412129
1112633724588
126252267a01
133030725791
1417987316db
15c74aadba4
hex7739c92e1

32004412129 has 2 divisors, whose sum is σ = 32004412130. Its totient is φ = 32004412128.

The previous prime is 32004412123. The next prime is 32004412157. The reversal of 32004412129 is 92121440023.

It is an a-pointer prime, because the next prime (32004412157) can be obtained adding 32004412129 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16998162129 + 15006250000 = 130377^2 + 122500^2 .

It is a cyclic number.

It is not a de Polignac number, because 32004412129 - 29 = 32004411617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32004412097 and 32004412106.

It is not a weakly prime, because it can be changed into another prime (32004412123) 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, 16002206064 + 16002206065.

It is an arithmetic number, because the mean of its divisors is an integer number (16002206065).

Almost surely, 232004412129 is an apocalyptic number.

It is an amenable number.

32004412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

32004412129 is an equidigital number, since it uses as much as digits as its factorization.

32004412129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 32004412129 in words is "thirty-two billion, four million, four hundred twelve thousand, one hundred twenty-nine".