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42122313 = 3242111117
BaseRepresentation
bin1010000010101…
…1110001001001
32221021000221200
42200223301021
541240403223
64102454413
71021014402
oct240536111
987230850
1042122313
1121860132
1212134409
13895a85c
1458469a9
153a70a43
hex282bc49

42122313 has 12 divisors (see below), whose sum is σ = 60993348. Its totient is φ = 28012320.

The previous prime is 42122309. The next prime is 42122323. The reversal of 42122313 is 31322124.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 40411449 = 1308^2 + 6357^2 .

It is not a de Polignac number, because 42122313 - 22 = 42122309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42122303) 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 11 ways as a sum of consecutive naturals, for example, 1770 + ... + 9347.

It is an arithmetic number, because the mean of its divisors is an integer number (5082779).

Almost surely, 242122313 is an apocalyptic number.

It is an amenable number.

42122313 is a deficient number, since it is larger than the sum of its proper divisors (18871035).

42122313 is a wasteful number, since it uses less digits than its factorization.

42122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11541 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 42122313 is about 6490.1704908269. The cubic root of 42122313 is about 347.9397686087.

Adding to 42122313 its reverse (31322124), we get a palindrome (73444437).

The spelling of 42122313 in words is "forty-two million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 421 1263 3789 11117 33351 100053 4680257 14040771 42122313