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3121121329 is a prime number
BaseRepresentation
bin1011101000001000…
…1000100000110001
322001111221101120021
42322002020200301
522343001340304
61233412243441
7140226044044
oct27202104061
98044841507
103121121329
111361878717
12731310581
133a9811971
14218734c5b
1513401ba54
hexba088831

3121121329 has 2 divisors, whose sum is σ = 3121121330. Its totient is φ = 3121121328.

The previous prime is 3121121287. The next prime is 3121121383. The reversal of 3121121329 is 9231211213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2515223104 + 605898225 = 50152^2 + 24615^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121121329 - 29 = 3121120817 is a prime.

It is not a weakly prime, because it can be changed into another prime (3121121389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560560664 + 1560560665.

It is an arithmetic number, because the mean of its divisors is an integer number (1560560665).

Almost surely, 23121121329 is an apocalyptic number.

It is an amenable number.

3121121329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121121329 is an equidigital number, since it uses as much as digits as its factorization.

3121121329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 25.

The square root of 3121121329 is about 55866.9967780621. The cubic root of 3121121329 is about 1461.4037492012.

The spelling of 3121121329 in words is "three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred twenty-nine".