Search a number
-
+
42001311 = 3113141057
BaseRepresentation
bin1010000000111…
…0001110011111
32221000212222010
42200032032133
541223020221
64100122303
71020001542
oct240161637
987025863
1042001311
1121788230
1212096393
138917761
145814859
153a49c76
hex280e39f

42001311 has 16 divisors (see below), whose sum is σ = 63065088. Its totient is φ = 24633600.

The previous prime is 42001307. The next prime is 42001319. The reversal of 42001311 is 11310024.

It is a happy number.

42001311 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 42001311 - 22 = 42001307 is a prime.

It is a super-2 number, since 2×420013112 = 3528220251437442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001319) 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 15 ways as a sum of consecutive naturals, for example, 19506 + ... + 21551.

It is an arithmetic number, because the mean of its divisors is an integer number (3941568).

Almost surely, 242001311 is an apocalyptic number.

42001311 is a deficient number, since it is larger than the sum of its proper divisors (21063777).

42001311 is a wasteful number, since it uses less digits than its factorization.

42001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41102.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 42001311 is about 6480.8418434645. The cubic root of 42001311 is about 347.6062811740.

Adding to 42001311 its reverse (11310024), we get a palindrome (53311335).

It can be divided in two parts, 420013 and 11, that added together give a palindrome (420024).

The spelling of 42001311 in words is "forty-two million, one thousand, three hundred eleven".

Divisors: 1 3 11 31 33 93 341 1023 41057 123171 451627 1272767 1354881 3818301 14000437 42001311