Search a number
-
+
31301012033 is a prime number
BaseRepresentation
bin11101001001101011…
…111000101001000001
32222210102101011100222
4131021223320221001
51003101024341113
622213545152425
72155445132564
oct351153705101
988712334328
1031301012033
1112302672695
12609678b715
132c4aa958c5
14172d1504db
15c32e68e08
hex749af8a41

31301012033 has 2 divisors, whose sum is σ = 31301012034. Its totient is φ = 31301012032.

The previous prime is 31301012027. The next prime is 31301012069. The reversal of 31301012033 is 33021010313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24165324304 + 7135687729 = 155452^2 + 84473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31301012033 is a prime.

It is not a weakly prime, because it can be changed into another prime (31301012003) 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 as a sum of consecutive naturals, namely, 15650506016 + 15650506017.

It is an arithmetic number, because the mean of its divisors is an integer number (15650506017).

Almost surely, 231301012033 is an apocalyptic number.

It is an amenable number.

31301012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31301012033 is an equidigital number, since it uses as much as digits as its factorization.

31301012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 31301012033 its reverse (33021010313), we get a palindrome (64322022346).

The spelling of 31301012033 in words is "thirty-one billion, three hundred one million, twelve thousand, thirty-three".