Search a number
-
+
32100003137 is a prime number
BaseRepresentation
bin11101111001010011…
…110010110101000001
310001212002211010010002
4131321103302311001
51011220100100022
622425130245345
72214316344656
oct357123626501
9101762733102
1032100003137
1112682684514
12627a286855
1330474844c7
1417a72d5c2d
15c7d192092
hex7794f2d41

32100003137 has 2 divisors, whose sum is σ = 32100003138. Its totient is φ = 32100003136.

The previous prime is 32100003097. The next prime is 32100003149. The reversal of 32100003137 is 73130000123.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31884030721 + 215972416 = 178561^2 + 14696^2 .

It is a cyclic number.

It is not a de Polignac number, because 32100003137 - 28 = 32100002881 is a prime.

It is not a weakly prime, because it can be changed into another prime (32100003167) 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, 16050001568 + 16050001569.

It is an arithmetic number, because the mean of its divisors is an integer number (16050001569).

Almost surely, 232100003137 is an apocalyptic number.

It is an amenable number.

32100003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

32100003137 is an equidigital number, since it uses as much as digits as its factorization.

32100003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The spelling of 32100003137 in words is "thirty-two billion, one hundred million, three thousand, one hundred thirty-seven".