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11016823105649 is a prime number
BaseRepresentation
bin1010000001010000110111…
…0100111110100001110001
31110000012100100021222210102
42200110031310332201301
52420444423203340044
635233020401042145
72214640101212504
oct240241564764161
943005310258712
1011016823105649
113568232487209
12129b173926355
1361bb6089003a
142a130796913b
1514188d58d24e
hexa050dd3e871

11016823105649 has 2 divisors, whose sum is σ = 11016823105650. Its totient is φ = 11016823105648.

The previous prime is 11016823105577. The next prime is 11016823105681. The reversal of 11016823105649 is 94650132861011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11016823105600 + 49 = 3319160^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 11016823105649 - 212 = 11016823101553 is a prime.

It is a super-3 number, since 3×110168231056493 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11016823104649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5508411552824 + 5508411552825.

It is an arithmetic number, because the mean of its divisors is an integer number (5508411552825).

Almost surely, 211016823105649 is an apocalyptic number.

It is an amenable number.

11016823105649 is a deficient number, since it is larger than the sum of its proper divisors (1).

11016823105649 is an equidigital number, since it uses as much as digits as its factorization.

11016823105649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 47.

It can be divided in two parts, 110168231056 and 49, that multiplied together give a square (5398243321744 = 23234122).

The spelling of 11016823105649 in words is "eleven trillion, sixteen billion, eight hundred twenty-three million, one hundred five thousand, six hundred forty-nine".