Base | Representation |
---|---|
bin | 10100111110101110… |
… | …01000101101000100 |
3 | 1002001222101222202211 |
4 | 22133113020231010 |
5 | 141031433430100 |
6 | 5101401313204 |
7 | 546056552422 |
oct | 123727105504 |
9 | 32058358684 |
10 | 11263576900 |
11 | 485aaa5044 |
12 | 2224195804 |
13 | 10a6711a04 |
14 | 78bcc2112 |
15 | 45dca61ba |
hex | 29f5c8b44 |
11263576900 has 27 divisors (see below), whose sum is σ = 24444265111. Its totient is φ = 4505006240.
The previous prime is 11263576873. The next prime is 11263576901. The reversal of 11263576900 is 967536211.
The square root of 11263576900 is 106130.
It is a perfect power (a square), and thus also a powerful number.
11263576900 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 4 ways, for example, as 3640191556 + 7623385344 = 60334^2 + 87312^2 .
It is a super-2 number, since 2×112635769002 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (11263576901) 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 8 ways as a sum of consecutive naturals, for example, 1055994 + ... + 1066606.
Almost surely, 211263576900 is an apocalyptic number.
11263576900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
11263576900 is the 106130-th square number.
It is an amenable number.
11263576900 is an abundant number, since it is smaller than the sum of its proper divisors (13180688211).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11263576900 is an frugal number, since it uses more digits than its factorization.
11263576900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21240 (or 10620 counting only the distinct ones).
The product of its (nonzero) digits is 68040, while the sum is 40.
The spelling of 11263576900 in words is "eleven billion, two hundred sixty-three million, five hundred seventy-six thousand, nine hundred".
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