Search a number
-
+
42163121 = 7111373577
BaseRepresentation
bin1010000011010…
…1101110110001
32221100002221002
42200311232301
541243204441
64103411345
71021244360
oct240655661
987302832
1042163121
1121888860
1212153b55
1389732c0
1458577d7
153a7cb9b
hex2835bb1

42163121 has 32 divisors (see below), whose sum is σ = 57485568. Its totient is φ = 29859840.

The previous prime is 42163097. The next prime is 42163123. The reversal of 42163121 is 12136124.

42163121 = T123 + T124 + ... + T633.

42163121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42163121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42163093 and 42163102.

It is not an unprimeable number, because it can be changed into a prime (42163123) 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 31 ways as a sum of consecutive naturals, for example, 72785 + ... + 73361.

It is an arithmetic number, because the mean of its divisors is an integer number (1796424).

Almost surely, 242163121 is an apocalyptic number.

It is an amenable number.

42163121 is a deficient number, since it is larger than the sum of its proper divisors (15322447).

42163121 is a wasteful number, since it uses less digits than its factorization.

42163121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its digits is 288, while the sum is 20.

The square root of 42163121 is about 6493.3135608871. The cubic root of 42163121 is about 348.0520934258.

Adding to 42163121 its reverse (12136124), we get a palindrome (54299245).

It can be divided in two parts, 4216 and 3121, that added together give a palindrome (7337).

The spelling of 42163121 in words is "forty-two million, one hundred sixty-three thousand, one hundred twenty-one".

Divisors: 1 7 11 13 73 77 91 143 511 577 803 949 1001 4039 5621 6347 6643 7501 10439 42121 44429 52507 73073 82511 294847 463331 547573 577577 3243317 3833011 6023303 42163121