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442103123 = 711411311069
BaseRepresentation
bin11010010110011…
…111010101010011
31010210220011110202
4122112133111103
51401134244443
6111511445415
713645546250
oct3226372523
91123804422
10442103123
11207612690
1210408686b
13707934a7
1442a04427
1528c2d7b8
hex1a59f553

442103123 has 32 divisors (see below), whose sum is σ = 569479680. Its totient is φ = 333216000.

The previous prime is 442103119. The next prime is 442103141. The reversal of 442103123 is 321301244.

It is a cyclic number.

It is not a de Polignac number, because 442103123 - 22 = 442103119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442103095 and 442103104.

It is not an unprimeable number, because it can be changed into a prime (442103113) 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 31 ways as a sum of consecutive naturals, for example, 413033 + ... + 414101.

It is an arithmetic number, because the mean of its divisors is an integer number (17796240).

Almost surely, 2442103123 is an apocalyptic number.

442103123 is a deficient number, since it is larger than the sum of its proper divisors (127376557).

442103123 is a wasteful number, since it uses less digits than its factorization.

442103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 442103123 is about 21026.2484290470. The cubic root of 442103123 is about 761.8003963013.

Adding to 442103123 its reverse (321301244), we get a palindrome (763404367).

The spelling of 442103123 in words is "four hundred forty-two million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 7 11 41 77 131 287 451 917 1069 1441 3157 5371 7483 10087 11759 37597 43829 59081 82313 140039 306803 413567 482119 980273 1540429 3374833 5741599 10783003 40191193 63157589 442103123