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442013034111 = 31170131376091
BaseRepresentation
bin1100110111010100000…
…01111010011001111111
31120020220122111122011020
412123222001322121333
524220220314042421
6535020305155223
743635331540635
oct6335201723177
91506818448136
10442013034111
1116050291a7a0
12717b932bb13
13328b277c83c
1417571c5d355
15b76eeb9dc6
hex66ea07a67f

442013034111 has 32 divisors (see below), whose sum is σ = 644156188416. Its totient is φ = 267375360000.

The previous prime is 442013034083. The next prime is 442013034139. The reversal of 442013034111 is 111430310244.

It is an interprime number because it is at equal distance from previous prime (442013034083) and next prime (442013034139).

It is not a de Polignac number, because 442013034111 - 25 = 442013034079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442013034181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72565176 + ... + 72571266.

It is an arithmetic number, because the mean of its divisors is an integer number (20129880888).

Almost surely, 2442013034111 is an apocalyptic number.

442013034111 is a deficient number, since it is larger than the sum of its proper divisors (202143154305).

442013034111 is a wasteful number, since it uses less digits than its factorization.

442013034111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 442013034111 its reverse (111430310244), we get a palindrome (553443344355).

The spelling of 442013034111 in words is "four hundred forty-two billion, thirteen million, thirty-four thousand, one hundred eleven".

Divisors: 1 3 11 33 701 2103 3137 6091 7711 9411 18273 23133 34507 67001 103521 201003 2199037 4269791 6597111 12809373 19107467 24189407 46967701 57322401 72568221 140903103 210182137 630546411 13394334367 40183003101 147337678037 442013034111