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420100241 = 11194742767
BaseRepresentation
bin11001000010100…
…011100010010001
31002021111022012012
4121002203202101
51330021201431
6105404112305
713260536021
oct3102434221
91067438165
10420100241
111a6154590
12b8835695
136905b532
143db17a81
1526d3422b
hex190a3891

420100241 has 16 divisors (see below), whose sum is σ = 492687360. Its totient is φ = 354102480.

The previous prime is 420100223. The next prime is 420100249. The reversal of 420100241 is 142001024.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420100241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420100249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11561 + ... + 31206.

It is an arithmetic number, because the mean of its divisors is an integer number (30792960).

Almost surely, 2420100241 is an apocalyptic number.

It is an amenable number.

420100241 is a deficient number, since it is larger than the sum of its proper divisors (72587119).

420100241 is a wasteful number, since it uses less digits than its factorization.

420100241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42844.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 420100241 is about 20496.3470159929. The cubic root of 420100241 is about 748.9468127173.

Adding to 420100241 its reverse (142001024), we get a palindrome (562101265).

The spelling of 420100241 in words is "four hundred twenty million, one hundred thousand, two hundred forty-one".

Divisors: 1 11 19 47 209 517 893 9823 42767 470437 812573 2010049 8938303 22110539 38190931 420100241