Search a number
10120349 is a prime number
BaseRepresentation
bin100110100110…
…110010011101
3201001011111202
4212212302131
510042322344
61000525245
7152010251
oct46466235
921034452
1010120349
115792628
123480825
132134595
1414b6261
15d4d94e
hex9a6c9d

10120349 has 2 divisors, whose sum is σ = 10120350. Its totient is φ = 10120348.

The previous prime is 10120343. The next prime is 10120361. The reversal of 10120349 is 94302101.

10120349 is nontrivially palindromic in base 7.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5359225 + 4761124 = 2315^2 + 2182^2 .

It is an emirp because it is prime and its reverse (94302101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10120349 - 220 = 9071773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060174 + 5060175.

It is an arithmetic number, because the mean of its divisors is an integer number (5060175).

Almost surely, 210120349 is an apocalyptic number.

It is an amenable number.

10120349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120349 is an equidigital number, since it uses as much as digits as its factorization.

10120349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10120349 is about 3181.2495972495. The cubic root of 10120349 is about 216.3043050270.

The spelling of 10120349 in words is "ten million, one hundred twenty thousand, three hundred forty-nine".