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420000213 = 3311450161
BaseRepresentation
bin11001000010001…
…011000111010101
31002021022012222110
4121002023013111
51330010001323
6105402021233
713256641263
oct3102130725
91067265873
10420000213
111a6096416
12b87a7819
1369024b49
143dacd433
1526d14793
hex1908b1d5

420000213 has 8 divisors (see below), whose sum is σ = 561802176. Its totient is φ = 279099200.

The previous prime is 420000199. The next prime is 420000223. The reversal of 420000213 is 312000024.

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 420000213 - 212 = 419996117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420000223) 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, 224148 + ... + 226013.

It is an arithmetic number, because the mean of its divisors is an integer number (70225272).

Almost surely, 2420000213 is an apocalyptic number.

It is an amenable number.

420000213 is a deficient number, since it is larger than the sum of its proper divisors (141801963).

420000213 is a wasteful number, since it uses less digits than its factorization.

420000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450475.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 420000213 is about 20493.9067285864. The cubic root of 420000213 is about 748.8873653194.

Adding to 420000213 its reverse (312000024), we get a palindrome (732000237).

It can be divided in two parts, 42000021 and 3, that added together give a palindrome (42000024).

The spelling of 420000213 in words is "four hundred twenty million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 311 933 450161 1350483 140000071 420000213