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214120413 = 32131830089
BaseRepresentation
bin11001100001100…
…11011111011101
3112220220102222200
430300303133131
5414303323123
633125202113
75206664523
oct1460633735
9486812880
10214120413
11aa957921
125b860339
133548c490
142061a313
1513be8143
hexcc337dd

214120413 has 12 divisors (see below), whose sum is σ = 333076380. Its totient is φ = 131766336.

The previous prime is 214120399. The next prime is 214120421. The reversal of 214120413 is 314021412.

It can be written as a sum of positive squares in 2 ways, for example, as 24176889 + 189943524 = 4917^2 + 13782^2 .

It is not a de Polignac number, because 214120413 - 24 = 214120397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214120453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914928 + ... + 915161.

It is an arithmetic number, because the mean of its divisors is an integer number (27756365).

Almost surely, 2214120413 is an apocalyptic number.

It is an amenable number.

214120413 is a deficient number, since it is larger than the sum of its proper divisors (118955967).

214120413 is a wasteful number, since it uses less digits than its factorization.

214120413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830108 (or 1830105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214120413 is about 14632.8538911588. The cubic root of 214120413 is about 598.2545690416.

Adding to 214120413 its reverse (314021412), we get a palindrome (528141825).

Subtracting 214120413 from its reverse (314021412), we obtain a palindrome (99900999).

The spelling of 214120413 in words is "two hundred fourteen million, one hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 117 1830089 5490267 16470801 23791157 71373471 214120413