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10114404343441 is a prime number
BaseRepresentation
bin1001001100101111000101…
…1110100101111010010001
31022210221001020012001120121
42103023301132211322101
52311203300002442231
633302254311110241
72062512240253216
oct223136136457221
938727036161517
1010114404343441
11324a54962a592
1211742a5672381
13584a26c793b8
1426d77b23bb0d
15128173a31311
hex932f17a5e91

10114404343441 has 2 divisors, whose sum is σ = 10114404343442. Its totient is φ = 10114404343440.

The previous prime is 10114404343403. The next prime is 10114404343451. The reversal of 10114404343441 is 14434340441101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10114174517841 + 229825600 = 3180279^2 + 15160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10114404343441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10114404343397 and 10114404343406.

It is not a weakly prime, because it can be changed into another prime (10114404343451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057202171720 + 5057202171721.

It is an arithmetic number, because the mean of its divisors is an integer number (5057202171721).

Almost surely, 210114404343441 is an apocalyptic number.

It is an amenable number.

10114404343441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114404343441 is an equidigital number, since it uses as much as digits as its factorization.

10114404343441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 10114404343441 its reverse (14434340441101), we get a palindrome (24548744784542).

The spelling of 10114404343441 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-three thousand, four hundred forty-one".