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1242131121 = 327114143717
BaseRepresentation
bin100101000001001…
…0110101010110001
310012120021210120100
41022002112222301
510020441143441
6323131103013
742531640350
oct11202265261
93176253510
101242131121
11588172550
122a7ba1a69
1316a45603a
14bad79997
15740adcb6
hex4a096ab1

1242131121 has 48 divisors (see below), whose sum is σ = 2291522688. Its totient is φ = 629510400.

The previous prime is 1242131089. The next prime is 1242131147. The reversal of 1242131121 is 1211312421.

It is not a de Polignac number, because 1242131121 - 25 = 1242131089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1242131094 and 1242131103.

It is not an unprimeable number, because it can be changed into a prime (1242131171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6555 + ... + 50271.

It is an arithmetic number, because the mean of its divisors is an integer number (47740056).

Almost surely, 21242131121 is an apocalyptic number.

1242131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1242131121 is a deficient number, since it is larger than the sum of its proper divisors (1049391567).

1242131121 is a wasteful number, since it uses less digits than its factorization.

1242131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43782 (or 43779 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1242131121 is about 35243.8806177753. The cubic root of 1242131121 is about 1074.9521870928.

Adding to 1242131121 its reverse (1211312421), we get a palindrome (2453443542).

The spelling of 1242131121 in words is "one billion, two hundred forty-two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1353 2583 3157 4059 9471 28413 43717 131151 306019 393453 480887 918057 1442661 1792397 2754171 3366209 4327983 5377191 10098627 12546779 16131573 19716367 30295881 37640337 59149101 112921011 138014569 177447303 414043707 1242131121