Search a number
-
+
42114204031 is a prime number
BaseRepresentation
bin100111001110001100…
…111100000101111111
311000201000022020012111
4213032030330011333
51142222214012111
631202541314451
73020425553644
oct471614740577
9130630266174
1042114204031
11169514088a9
1281b3b65a27
133c820a4673
1420772b3dcb
151167407a21
hex9ce33c17f

42114204031 has 2 divisors, whose sum is σ = 42114204032. Its totient is φ = 42114204030.

The previous prime is 42114204029. The next prime is 42114204107. The reversal of 42114204031 is 13040241124.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 42114204031 - 21 = 42114204029 is a prime.

It is a super-2 number, since 2×421142040312 (a number of 22 digits) contains 22 as substring.

Together with 42114204029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 42114203993 and 42114204011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42114204131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21057102015 + 21057102016.

It is an arithmetic number, because the mean of its divisors is an integer number (21057102016).

Almost surely, 242114204031 is an apocalyptic number.

42114204031 is a deficient number, since it is larger than the sum of its proper divisors (1).

42114204031 is an equidigital number, since it uses as much as digits as its factorization.

42114204031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42114204031 its reverse (13040241124), we get a palindrome (55154445155).

The spelling of 42114204031 in words is "forty-two billion, one hundred fourteen million, two hundred four thousand, thirty-one".