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1034100329 is a prime number
BaseRepresentation
bin111101101000110…
…001111001101001
32200001211201222012
4331220301321221
54104212202304
6250340205305
734424464523
oct7550617151
92601751865
101034100329
114907a4979
1224a399835
131363195b2
149b4a6a13
1560bba16e
hex3da31e69

1034100329 has 2 divisors, whose sum is σ = 1034100330. Its totient is φ = 1034100328.

The previous prime is 1034100313. The next prime is 1034100337. The reversal of 1034100329 is 9230014301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 631014400 + 403085929 = 25120^2 + 20077^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034100329 - 24 = 1034100313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1034100359) 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, 517050164 + 517050165.

It is an arithmetic number, because the mean of its divisors is an integer number (517050165).

Almost surely, 21034100329 is an apocalyptic number.

It is an amenable number.

1034100329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034100329 is an equidigital number, since it uses as much as digits as its factorization.

1034100329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1034100329 is about 32157.4303855268. The cubic root of 1034100329 is about 1011.2399661536.

The spelling of 1034100329 in words is "one billion, thirty-four million, one hundred thousand, three hundred twenty-nine".