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42132213 = 3267107653
BaseRepresentation
bin1010000010111…
…0001011110101
32221021112112100
42200232023311
541241212323
64103012313
71021055304
oct240561365
987245470
1042132213
1121867612
121213a099
138962206
14584a43b
153a73943
hex282e2f5

42132213 has 24 divisors (see below), whose sum is σ = 62438688. Its totient is φ = 27368352.

The previous prime is 42132197. The next prime is 42132227. The reversal of 42132213 is 31223124.

42132213 is a `hidden beast` number, since 421 + 32 + 213 = 666.

42132213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42132213 - 24 = 42132197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132413) 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 23 ways as a sum of consecutive naturals, for example, 64195 + ... + 64847.

It is an arithmetic number, because the mean of its divisors is an integer number (2601612).

Almost surely, 242132213 is an apocalyptic number.

It is an amenable number.

42132213 is a deficient number, since it is larger than the sum of its proper divisors (20306475).

42132213 is a wasteful number, since it uses less digits than its factorization.

42132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 830 counting only the distinct ones).

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

The square root of 42132213 is about 6490.9331378470. The cubic root of 42132213 is about 347.9670252148.

Adding to 42132213 its reverse (31223124), we get a palindrome (73355337).

The spelling of 42132213 in words is "forty-two million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 67 107 201 321 603 653 963 1959 5877 7169 21507 43751 64521 69871 131253 209613 393759 628839 4681357 14044071 42132213