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120120013 = 139240001
BaseRepresentation
bin1110010100011…
…10001011001101
322101000201200101
413022032023031
5221222320023
615530331101
72656001056
oct712161315
9271021611
10120120013
1161893a42
1234289a91
131bb69740
1411d4b72d
15a82b1ad
hex728e2cd

120120013 has 4 divisors (see below), whose sum is σ = 129360028. Its totient is φ = 110880000.

The previous prime is 120119999. The next prime is 120120031. The reversal of 120120013 is 310021021.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310021021 = 973196093.

It can be written as a sum of positive squares in 2 ways, for example, as 58936329 + 61183684 = 7677^2 + 7822^2 .

It is a cyclic number.

It is not a de Polignac number, because 120120013 - 213 = 120111821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4619988 + ... + 4620013.

It is an arithmetic number, because the mean of its divisors is an integer number (32340007).

Almost surely, 2120120013 is an apocalyptic number.

120120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120120013 is a deficient number, since it is larger than the sum of its proper divisors (9240015).

120120013 is an equidigital number, since it uses as much as digits as its factorization.

120120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240014.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120120013 is about 10959.9276001258. The cubic root of 120120013 is about 493.4067920298.

Adding to 120120013 its reverse (310021021), we get a palindrome (430141034).

The spelling of 120120013 in words is "one hundred twenty million, one hundred twenty thousand, thirteen".

Divisors: 1 13 9240001 120120013