Search a number
-
+
42000132031 = 11132312769879
BaseRepresentation
bin100111000111011001…
…110010011110111111
311000102001122202211121
4213013121302132333
51142004013211111
631143344331411
73014542142344
oct470731623677
9130361582747
1042000132031
11168a2a85920
128181913b67
133c64574a40
14206609c7cb
15115c3c3871
hex9c76727bf

42000132031 has 16 divisors (see below), whose sum is σ = 51488156160. Its totient is φ = 33712477920.

The previous prime is 42000132029. The next prime is 42000132067. The reversal of 42000132031 is 13023100024.

It is a happy number.

It is not a de Polignac number, because 42000132031 - 21 = 42000132029 is a prime.

It is a super-2 number, since 2×420001320312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42000131996 and 42000132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000132071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6381651 + ... + 6388228.

It is an arithmetic number, because the mean of its divisors is an integer number (3218009760).

Almost surely, 242000132031 is an apocalyptic number.

42000132031 is a deficient number, since it is larger than the sum of its proper divisors (9488024129).

42000132031 is a wasteful number, since it uses less digits than its factorization.

42000132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769926.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42000132031 its reverse (13023100024), we get a palindrome (55023232055).

The spelling of 42000132031 in words is "forty-two billion, one hundred thirty-two thousand, thirty-one".

Divisors: 1 11 13 23 143 253 299 3289 12769879 140468669 166008427 293707217 1826092697 3230779387 3818193821 42000132031