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4242420100 = 225242424201
BaseRepresentation
bin1111110011011110…
…0011000110000100
3101221122212021022101
43330313203012010
532142024420400
61540545441444
7210062655502
oct37467430604
911848767271
104242420100
111887810016
129a4940284
13527c0bc69
142c3619672
1519c6ad56a
hexfcde3184

4242420100 has 18 divisors (see below), whose sum is σ = 9206051834. Its totient is φ = 1696968000.

The previous prime is 4242420097. The next prime is 4242420103. The reversal of 4242420100 is 10242424.

It is an interprime number because it is at equal distance from previous prime (4242420097) and next prime (4242420103).

It can be written as a sum of positive squares in 3 ways, for example, as 883753984 + 3358666116 = 29728^2 + 57954^2 .

It is not an unprimeable number, because it can be changed into a prime (4242420103) 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 5 ways as a sum of consecutive naturals, for example, 21212001 + ... + 21212200.

Almost surely, 24242420100 is an apocalyptic number.

It is an amenable number.

4242420100 is an abundant number, since it is smaller than the sum of its proper divisors (4963631734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4242420100 is a wasteful number, since it uses less digits than its factorization.

4242420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42424215 (or 42424208 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4242420100 is about 65133.8629285873. The cubic root of 4242420100 is about 1618.8423497946.

Adding to 4242420100 its reverse (10242424), we get a palindrome (4252662524).

The spelling of 4242420100 in words is "four billion, two hundred forty-two million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 42424201 84848402 169696804 212121005 424242010 848484020 1060605025 2121210050 4242420100