Search a number
-
+
11055471025 = 5217212372
BaseRepresentation
bin10100100101111010…
…10001100110110001
31001112110211010011211
422102331101212301
5140120200033100
65025005040121
7540651644644
oct122275214661
931473733154
1011055471025
114763586015
122186556041
13107257a041
1476c3cda5b
1544a89a1ba
hex292f519b1

11055471025 has 27 divisors (see below), whose sum is σ = 14574400419. Its totient is φ = 8317390080.

The previous prime is 11055471001. The next prime is 11055471047. The reversal of 11055471025 is 52017455011.

The square root of 11055471025 is 105145.

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

11055471025 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 13 ways, for example, as 1401229489 + 9654241536 = 37433^2 + 98256^2 .

It is not a de Polignac number, because 11055471025 - 27 = 11055470897 is a prime.

It is a super-2 number, since 2×110554710252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 8936707 + ... + 8937943.

Almost surely, 211055471025 is an apocalyptic number.

11055471025 is the 105145-th square number.

11055471025 is the 52573-rd centered octagonal number.

It is an amenable number.

11055471025 is a deficient number, since it is larger than the sum of its proper divisors (3518929394).

11055471025 is an frugal number, since it uses more digits than its factorization.

11055471025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

The spelling of 11055471025 in words is "eleven billion, fifty-five million, four hundred seventy-one thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1237 1445 6185 7225 21029 30925 105145 357493 525725 1530169 1787465 7650845 8937325 26012873 38254225 130064365 442218841 650321825 2211094205 11055471025