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331120417 is a prime number
BaseRepresentation
bin10011101111000…
…111111100100001
3212002001122211011
4103233013330201
51134231323132
652505020521
711130322435
oct2357077441
9762048734
10331120417
1115a9aa741
1292a84741
13537a5a54
1431d949c5
151e109b47
hex13bc7f21

331120417 has 2 divisors, whose sum is σ = 331120418. Its totient is φ = 331120416.

The previous prime is 331120411. The next prime is 331120423. The reversal of 331120417 is 714021133.

It is a balanced prime because it is at equal distance from previous prime (331120411) and next prime (331120423).

It can be written as a sum of positive squares in only one way, i.e., 330912481 + 207936 = 18191^2 + 456^2 .

It is a cyclic number.

It is not a de Polignac number, because 331120417 - 23 = 331120409 is a prime.

It is not a weakly prime, because it can be changed into another prime (331120411) 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, 165560208 + 165560209.

It is an arithmetic number, because the mean of its divisors is an integer number (165560209).

Almost surely, 2331120417 is an apocalyptic number.

It is an amenable number.

331120417 is a deficient number, since it is larger than the sum of its proper divisors (1).

331120417 is an equidigital number, since it uses as much as digits as its factorization.

331120417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 331120417 is about 18196.7144561869. The cubic root of 331120417 is about 691.8235158939.

The spelling of 331120417 in words is "three hundred thirty-one million, one hundred twenty thousand, four hundred seventeen".