Search a number
-
+
3012131133233 is a prime number
BaseRepresentation
bin101011110101010001000…
…000011001011100110001
3101122221211121010200202222
4223311101000121130301
5343322321032230413
610223430503450425
7430422263121335
oct53652100313461
911587747120688
103012131133233
11a6148a553722
12407930756a15
1318b072bb8c51
14a5b060cb7c5
1553544768b08
hex2bd51019731

3012131133233 has 2 divisors, whose sum is σ = 3012131133234. Its totient is φ = 3012131133232.

The previous prime is 3012131133217. The next prime is 3012131133259. The reversal of 3012131133233 is 3323311312103.

It is an a-pointer prime, because the next prime (3012131133259) can be obtained adding 3012131133233 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2952922617649 + 59208515584 = 1718407^2 + 243328^2 .

It is a cyclic number.

It is not a de Polignac number, because 3012131133233 - 24 = 3012131133217 is a prime.

It is not a weakly prime, because it can be changed into another prime (3012131133283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506065566616 + 1506065566617.

It is an arithmetic number, because the mean of its divisors is an integer number (1506065566617).

Almost surely, 23012131133233 is an apocalyptic number.

It is an amenable number.

3012131133233 is a deficient number, since it is larger than the sum of its proper divisors (1).

3012131133233 is an equidigital number, since it uses as much as digits as its factorization.

3012131133233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 3012131133233 its reverse (3323311312103), we get a palindrome (6335442445336).

The spelling of 3012131133233 in words is "three trillion, twelve billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred thirty-three".