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120320213 = 1327733413
BaseRepresentation
bin1110010101111…
…11000011010101
322101101220022012
413022333003111
5221300221323
615534514005
72660463536
oct712770325
9271356265
10120320213
1161a103a2
1234365905
131bc098c0
1411da068d
15a86a678
hex72bf0d5

120320213 has 8 divisors (see below), whose sum is σ = 130047288. Its totient is φ = 110660544.

The previous prime is 120320197. The next prime is 120320219. The reversal of 120320213 is 312023021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11785489 + 108534724 = 3433^2 + 10418^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 120320213 - 24 = 120320197 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 (120320219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13106 + ... + 20307.

It is an arithmetic number, because the mean of its divisors is an integer number (16255911).

Almost surely, 2120320213 is an apocalyptic number.

120320213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120320213 is a deficient number, since it is larger than the sum of its proper divisors (9727075).

120320213 is a wasteful number, since it uses less digits than its factorization.

120320213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33703.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 120320213 is about 10969.0570697759. The cubic root of 120320213 is about 493.6807547394.

Adding to 120320213 its reverse (312023021), we get a palindrome (432343234).

The spelling of 120320213 in words is "one hundred twenty million, three hundred twenty thousand, two hundred thirteen".

Divisors: 1 13 277 3601 33413 434369 9255401 120320213