Search a number
-
+
33121132097 is a prime number
BaseRepresentation
bin11110110110001011…
…000101111001000001
310011111021020211201012
4132312023011321001
51020313002211342
623114324450305
72251525656224
oct366613057101
9104437224635
1033121132097
1113057019849
126504249995
13317abab921
141862b835bb
15cdcb48b82
hex7b62c5e41

33121132097 has 2 divisors, whose sum is σ = 33121132098. Its totient is φ = 33121132096.

The previous prime is 33121132091. The next prime is 33121132151. The reversal of 33121132097 is 79023112133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29066499121 + 4054632976 = 170489^2 + 63676^2 .

It is a cyclic number.

It is not a de Polignac number, because 33121132097 - 218 = 33120869953 is a prime.

It is not a weakly prime, because it can be changed into another prime (33121132091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560566048 + 16560566049.

It is an arithmetic number, because the mean of its divisors is an integer number (16560566049).

Almost surely, 233121132097 is an apocalyptic number.

It is an amenable number.

33121132097 is a deficient number, since it is larger than the sum of its proper divisors (1).

33121132097 is an equidigital number, since it uses as much as digits as its factorization.

33121132097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 32.

The spelling of 33121132097 in words is "thirty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, ninety-seven".