Search a number
-
+
331104535169 is a prime number
BaseRepresentation
bin1001101000101110101…
…11100100001010000001
31011122122020121010112012
410310113113210022001
520411100230111134
6412035103142305
732631036053342
oct4642727441201
91148566533465
10331104535169
11118469972a11
12542062a4995
13252b8ca19c5
141205014a0c9
15892d2676ce
hex4d175e4281

331104535169 has 2 divisors, whose sum is σ = 331104535170. Its totient is φ = 331104535168.

The previous prime is 331104535123. The next prime is 331104535183. The reversal of 331104535169 is 961535401133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322041495169 + 9063040000 = 567487^2 + 95200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331104535169 is a prime.

It is a super-2 number, since 2×3311045351692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331104535189) 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, 165552267584 + 165552267585.

It is an arithmetic number, because the mean of its divisors is an integer number (165552267585).

Almost surely, 2331104535169 is an apocalyptic number.

It is an amenable number.

331104535169 is a deficient number, since it is larger than the sum of its proper divisors (1).

331104535169 is an equidigital number, since it uses as much as digits as its factorization.

331104535169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145800, while the sum is 41.

The spelling of 331104535169 in words is "three hundred thirty-one billion, one hundred four million, five hundred thirty-five thousand, one hundred sixty-nine".