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10819493441 is a prime number
BaseRepresentation
bin10100001001110010…
…00101111001000001
31000221000210012210022
422010321011321001
5134124242242231
64545335143225
7532055114441
oct120471057101
930830705708
1010819493441
11465235a619
12211b514b15
131035707033
14748d24121
15434cd5c7b
hex284e45e41

10819493441 has 2 divisors, whose sum is σ = 10819493442. Its totient is φ = 10819493440.

The previous prime is 10819493429. The next prime is 10819493471. The reversal of 10819493441 is 14439491801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8523167041 + 2296326400 = 92321^2 + 47920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10819493441 is a prime.

It is a super-2 number, since 2×108194934412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10819493392 and 10819493401.

It is not a weakly prime, because it can be changed into another prime (10819493471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5409746720 + 5409746721.

It is an arithmetic number, because the mean of its divisors is an integer number (5409746721).

Almost surely, 210819493441 is an apocalyptic number.

It is an amenable number.

10819493441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10819493441 is an equidigital number, since it uses as much as digits as its factorization.

10819493441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 10819493441 in words is "ten billion, eight hundred nineteen million, four hundred ninety-three thousand, four hundred forty-one".