Search a number
-
+
331031001097 is a prime number
BaseRepresentation
bin1001101000100101111…
…11000011100000001001
31011122110010020012202001
410310102333003200021
520410422414013342
6412023515111001
732626154040316
oct4642277034011
91148403205661
10331031001097
11118431408755
12541a5742461
13252a6996714
1412044487d0d
158926a8e8b7
hex4d12fc3809

331031001097 has 2 divisors, whose sum is σ = 331031001098. Its totient is φ = 331031001096.

The previous prime is 331031001071. The next prime is 331031001143. The reversal of 331031001097 is 790100130133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236263072761 + 94767928336 = 486069^2 + 307844^2 .

It is a cyclic number.

It is not a de Polignac number, because 331031001097 - 215 = 331030968329 is a prime.

It is not a weakly prime, because it can be changed into another prime (331031001397) 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, 165515500548 + 165515500549.

It is an arithmetic number, because the mean of its divisors is an integer number (165515500549).

Almost surely, 2331031001097 is an apocalyptic number.

It is an amenable number.

331031001097 is a deficient number, since it is larger than the sum of its proper divisors (1).

331031001097 is an equidigital number, since it uses as much as digits as its factorization.

331031001097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 28.

The spelling of 331031001097 in words is "three hundred thirty-one billion, thirty-one million, one thousand, ninety-seven".