Search a number
-
+
311311132200031 is a prime number
BaseRepresentation
bin100011011001000101100010…
…1011100110000110001011111
31111211021001110001201122111111
41012302023011130300301133
5311301010144320400111
63022034205414402451
7122400326032014535
oct10662130534606137
91454231401648444
10311311132200031
1190214345298347
122aaba224360427
131049268aa8b082
1456c3779794155
1525ecdb4b7ba21
hex11b22c5730c5f

311311132200031 has 2 divisors, whose sum is σ = 311311132200032. Its totient is φ = 311311132200030.

The previous prime is 311311132200017. The next prime is 311311132200053. The reversal of 311311132200031 is 130002231113113.

It is an a-pointer prime, because the next prime (311311132200053) can be obtained adding 311311132200031 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 311311132200031 - 221 = 311311130102879 is a prime.

It is a super-2 number, since 2×3113111322000312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311311132199975 and 311311132200011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311311132200011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155655566100015 + 155655566100016.

It is an arithmetic number, because the mean of its divisors is an integer number (155655566100016).

Almost surely, 2311311132200031 is an apocalyptic number.

311311132200031 is a deficient number, since it is larger than the sum of its proper divisors (1).

311311132200031 is an equidigital number, since it uses as much as digits as its factorization.

311311132200031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 311311132200031 its reverse (130002231113113), we get a palindrome (441313363313144).

The spelling of 311311132200031 in words is "three hundred eleven trillion, three hundred eleven billion, one hundred thirty-two million, two hundred thousand, thirty-one".