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442231101 = 32133779753
BaseRepresentation
bin11010010110111…
…110100100111101
31010211010200000200
4122112332210331
51401202343401
6111514314113
713646621334
oct3226764475
91124120020
10442231101
1120769a854
12104128939
1370809810
1442a38d1b
1528c56686
hex1a5be93d

442231101 has 12 divisors (see below), whose sum is σ = 687915228. Its totient is φ = 272142144.

The previous prime is 442231039. The next prime is 442231103. The reversal of 442231101 is 101132244.

It can be written as a sum of positive squares in 2 ways, for example, as 260790201 + 181440900 = 16149^2 + 13470^2 .

It is not a de Polignac number, because 442231101 - 27 = 442230973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442231103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1889760 + ... + 1889993.

It is an arithmetic number, because the mean of its divisors is an integer number (57326269).

Almost surely, 2442231101 is an apocalyptic number.

It is an amenable number.

442231101 is a deficient number, since it is larger than the sum of its proper divisors (245684127).

442231101 is a wasteful number, since it uses less digits than its factorization.

442231101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779772 (or 3779769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 442231101 is about 21029.2915001909. The cubic root of 442231101 is about 761.8738967135.

Adding to 442231101 its reverse (101132244), we get a palindrome (543363345).

The spelling of 442231101 in words is "four hundred forty-two million, two hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 13 39 117 3779753 11339259 34017777 49136789 147410367 442231101