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100404340331 is a prime number
BaseRepresentation
bin101110110000010010…
…0001010011001101011
3100121011100110221220112
41131200210022121223
53121112002342311
6114043005244535
710153053545201
oct1354044123153
9317140427815
10100404340331
11396436a5a69
121756126374b
139611510789
144c06a35071
1529299a928b
hex176090a66b

100404340331 has 2 divisors, whose sum is σ = 100404340332. Its totient is φ = 100404340330.

The previous prime is 100404340313. The next prime is 100404340427. The reversal of 100404340331 is 133043404001.

Together with previous prime (100404340313) 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 a de Polignac number, because none of the positive numbers 2k-100404340331 is a prime.

It is a super-2 number, since 2×1004043403312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 100404340297 and 100404340306.

It is not a weakly prime, because it can be changed into another prime (100404300331) 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, 50202170165 + 50202170166.

It is an arithmetic number, because the mean of its divisors is an integer number (50202170166).

Almost surely, 2100404340331 is an apocalyptic number.

100404340331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404340331 is an equidigital number, since it uses as much as digits as its factorization.

100404340331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 100404340331 its reverse (133043404001), we get a palindrome (233447744332).

The spelling of 100404340331 in words is "one hundred billion, four hundred four million, three hundred forty thousand, three hundred thirty-one".