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42334213131 = 327953370489
BaseRepresentation
bin100111011011010100…
…001101010000001011
311001021100021211221200
4213123110031100023
51143200024310011
631240441035243
73026036605620
oct473324152013
9131240254850
1042334213131
1116a54617a01
128255785b23
133cb8846272
1420985c4347
15117b8b5856
hex9db50d40b

42334213131 has 24 divisors (see below), whose sum is σ = 69893372640. Its totient is φ = 24188098176.

The previous prime is 42334213121. The next prime is 42334213153. The reversal of 42334213131 is 13131243324.

It is a happy number.

42334213131 is a `hidden beast` number, since 4 + 2 + 3 + 342 + 1 + 313 + 1 = 666.

It is not a de Polignac number, because 42334213131 - 26 = 42334213067 is a prime.

It is a super-2 number, since 2×423342131312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42334213095 and 42334213104.

It is not an unprimeable number, because it can be changed into a prime (42334213111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565335 + ... + 635823.

It is an arithmetic number, because the mean of its divisors is an integer number (2912223860).

Almost surely, 242334213131 is an apocalyptic number.

42334213131 is a deficient number, since it is larger than the sum of its proper divisors (27559159509).

42334213131 is a wasteful number, since it uses less digits than its factorization.

42334213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80035 (or 80032 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 42334213131 its reverse (13131243324), we get a palindrome (55465456455).

The spelling of 42334213131 in words is "forty-two billion, three hundred thirty-four million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 9533 28599 66731 70489 85797 200193 211467 493423 600579 634401 1480269 4440807 671971637 2015914911 4703801459 6047744733 14111404377 42334213131