Search a number
-
+
110564321641 is a prime number
BaseRepresentation
bin110011011111000100…
…1011010100101101001
3101120101102021111010121
41212332021122211221
53302413431243031
6122443105043241
710662613141024
oct1467611324551
9346342244117
10110564321641
114298774a334
1219517926521
13a5703b3037
1454cc1201bb
152d21919011
hex19be25a969

110564321641 has 2 divisors, whose sum is σ = 110564321642. Its totient is φ = 110564321640.

The previous prime is 110564321639. The next prime is 110564321671. The reversal of 110564321641 is 146123465011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108033829225 + 2530492416 = 328685^2 + 50304^2 .

It is a cyclic number.

It is not a de Polignac number, because 110564321641 - 21 = 110564321639 is a prime.

It is a super-3 number, since 3×1105643216413 (a number of 34 digits) contains 333 as substring.

Together with 110564321639, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 110564321597 and 110564321606.

It is not a weakly prime, because it can be changed into another prime (110564321671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55282160820 + 55282160821.

It is an arithmetic number, because the mean of its divisors is an integer number (55282160821).

Almost surely, 2110564321641 is an apocalyptic number.

It is an amenable number.

110564321641 is a deficient number, since it is larger than the sum of its proper divisors (1).

110564321641 is an equidigital number, since it uses as much as digits as its factorization.

110564321641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 110564321641 its reverse (146123465011), we get a palindrome (256687786652).

The spelling of 110564321641 in words is "one hundred ten billion, five hundred sixty-four million, three hundred twenty-one thousand, six hundred forty-one".