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1034433314129 is a prime number
BaseRepresentation
bin11110000110110010000…
…01111011110101010001
310122220001102210000112202
433003121001323311101
5113422004412023004
62111113451532545
7134510136043655
oct17033101736521
93586042700482
101034433314129
113697787024a6
1214859175a155
1376714c89227
14380d159ca65
151bd946a9b1e
hexf0d907bd51

1034433314129 has 2 divisors, whose sum is σ = 1034433314130. Its totient is φ = 1034433314128.

The previous prime is 1034433314107. The next prime is 1034433314227. The reversal of 1034433314129 is 9214133344301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 934416089104 + 100017225025 = 966652^2 + 316255^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034433314129 - 28 = 1034433313873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1034433314092 and 1034433314101.

It is not a weakly prime, because it can be changed into another prime (1034433314429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517216657064 + 517216657065.

It is an arithmetic number, because the mean of its divisors is an integer number (517216657065).

Almost surely, 21034433314129 is an apocalyptic number.

It is an amenable number.

1034433314129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034433314129 is an equidigital number, since it uses as much as digits as its factorization.

1034433314129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 1034433314129 in words is "one trillion, thirty-four billion, four hundred thirty-three million, three hundred fourteen thousand, one hundred twenty-nine".