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10980315369 = 3638812
BaseRepresentation
bin10100011100111101…
…00101000011101001
31001100020101211000000
422032132211003221
5134441430042434
65013322133213
7536050066152
oct121636450351
931306354000
1010980315369
114725113501
122165351209
13105cb2493a
14762428929
15443ea1b99
hex28e7a50e9

10980315369 has 21 divisors (see below), whose sum is σ = 16467184999. Its totient is φ = 7318324080.

The previous prime is 10980315349. The next prime is 10980315373. The reversal of 10980315369 is 96351308901.

The square root of 10980315369 is 104787.

It is a perfect power (a square), and thus also a powerful number.

10980315369 is a `hidden beast` number, since 1 + 0 + 9 + 80 + 31 + 536 + 9 = 666.

10980315369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6920076969 + 4060238400 = 83187^2 + 63720^2 .

It is not a de Polignac number, because 10980315369 - 25 = 10980315337 is a prime.

It is a super-2 number, since 2×109803153692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10980315349) 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 in 20 ways as a sum of consecutive naturals, for example, 2827309 + ... + 2831189.

Almost surely, 210980315369 is an apocalyptic number.

10980315369 is the 104787-th square number.

10980315369 is the 52394-th centered octagonal number.

It is an amenable number.

10980315369 is a deficient number, since it is larger than the sum of its proper divisors (5486869630).

10980315369 is an frugal number, since it uses more digits than its factorization.

10980315369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10980315369 in words is "ten billion, nine hundred eighty million, three hundred fifteen thousand, three hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 3881 11643 34929 104787 314361 943083 2829249 15062161 45186483 135559449 406678347 1220035041 3660105123 10980315369