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33120331001 is a prime number
BaseRepresentation
bin11110110110001000…
…000010010011111001
310011111012202010210222
4132312020002103321
51020312301043001
623114255345425
72251516111532
oct366610022371
9104435663728
1033120331001
111305662198a
126503b22275
13317a98b0c4
141862a15689
15cdca3b61b
hex7b62024f9

33120331001 has 2 divisors, whose sum is σ = 33120331002. Its totient is φ = 33120331000.

The previous prime is 33120330977. The next prime is 33120331003. The reversal of 33120331001 is 10013302133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32558593600 + 561737401 = 180440^2 + 23701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33120331001 is a prime.

Together with 33120331003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33120331003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560165500 + 16560165501.

It is an arithmetic number, because the mean of its divisors is an integer number (16560165501).

Almost surely, 233120331001 is an apocalyptic number.

It is an amenable number.

33120331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120331001 is an equidigital number, since it uses as much as digits as its factorization.

33120331001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33120331001 its reverse (10013302133), we get a palindrome (43133633134).

The spelling of 33120331001 in words is "thirty-three billion, one hundred twenty million, three hundred thirty-one thousand, one".