Search a number
-
+
2231113312031 is a prime number
BaseRepresentation
bin100000011101111000101…
…101110110011100011111
321220021220010022112211112
4200131320231312130133
5243023310001441111
64424543113212235
7320123032146422
oct40357055663437
97807803275745
102231113312031
117902343328aa
123004a340107b
131325157aa546
1479db4bc19b9
153d082b90e8b
hex20778b7671f

2231113312031 has 2 divisors, whose sum is σ = 2231113312032. Its totient is φ = 2231113312030.

The previous prime is 2231113312013. The next prime is 2231113312063. The reversal of 2231113312031 is 1302133111322.

Together with previous prime (2231113312013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2231113312031 - 26 = 2231113311967 is a prime.

It is a super-3 number, since 3×22311133120313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231113311988 and 2231113312006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231113312081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115556656015 + 1115556656016.

It is an arithmetic number, because the mean of its divisors is an integer number (1115556656016).

Almost surely, 22231113312031 is an apocalyptic number.

2231113312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231113312031 is an equidigital number, since it uses as much as digits as its factorization.

2231113312031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2231113312031 its reverse (1302133111322), we get a palindrome (3533246423353).

The spelling of 2231113312031 in words is "two trillion, two hundred thirty-one billion, one hundred thirteen million, three hundred twelve thousand, thirty-one".