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420124213 = 1724573181
BaseRepresentation
bin11001000010101…
…001011000110101
31002021112112002001
4121002221120311
51330022433323
6105404415301
713260665635
oct3102513065
91067475061
10420124213
111a61705a3
12b8847531
1369069412
143db226c5
1526d3b3ad
hex190a9635

420124213 has 12 divisors (see below), whose sum is σ = 447408292. Its totient is φ = 394421760.

The previous prime is 420124207. The next prime is 420124231. The reversal of 420124213 is 312421024.

It can be written as a sum of positive squares in 6 ways, for example, as 24830289 + 395293924 = 4983^2 + 19882^2 .

It is not a de Polignac number, because 420124213 - 221 = 418027061 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 (420124283) 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 11 ways as a sum of consecutive naturals, for example, 130483 + ... + 133663.

Almost surely, 2420124213 is an apocalyptic number.

It is an amenable number.

420124213 is a deficient number, since it is larger than the sum of its proper divisors (27284079).

420124213 is a wasteful number, since it uses less digits than its factorization.

420124213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420124213 is about 20496.9317947833. The cubic root of 420124213 is about 748.9610580567.

Adding to 420124213 its reverse (312421024), we get a palindrome (732545237).

It can be divided in two parts, 42012 and 4213, that added together give a square (46225 = 2152).

The spelling of 420124213 in words is "four hundred twenty million, one hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 17 289 457 3181 7769 54077 132073 919309 1453717 24713189 420124213