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12000313 = 135317417
BaseRepresentation
bin101101110001…
…110000111001
3211120200100001
4231301300321
511033002223
61105113001
7204000223
oct55616071
924520301
1012000313
116857016
124028761
1326421a0
141845413
1510c09ad
hexb71c39

12000313 has 8 divisors (see below), whose sum is σ = 13168008. Its totient is φ = 10867584.

The previous prime is 12000281. The next prime is 12000353. The reversal of 12000313 is 31300021.

It can be written as a sum of positive squares in 4 ways, for example, as 3636649 + 8363664 = 1907^2 + 2892^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12000313 - 25 = 12000281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12000313.

It is not an unprimeable number, because it can be changed into a prime (12000353) 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 in 7 ways as a sum of consecutive naturals, for example, 8020 + ... + 9397.

It is an arithmetic number, because the mean of its divisors is an integer number (1646001).

Almost surely, 212000313 is an apocalyptic number.

12000313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12000313 is a deficient number, since it is larger than the sum of its proper divisors (1167695).

12000313 is a wasteful number, since it uses less digits than its factorization.

12000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17483.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 12000313 is about 3464.1467925017. The cubic root of 12000313 is about 228.9448390242.

Adding to 12000313 its reverse (31300021), we get a palindrome (43300334).

The spelling of 12000313 in words is "twelve million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 13 53 689 17417 226421 923101 12000313