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11263576900 = 2252106132
BaseRepresentation
bin10100111110101110…
…01000101101000100
31002001222101222202211
422133113020231010
5141031433430100
65101401313204
7546056552422
oct123727105504
932058358684
1011263576900
11485aaa5044
122224195804
1310a6711a04
1478bcc2112
1545dca61ba
hex29f5c8b44

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".

Divisors: 1 2 4 5 10 20 25 50 100 10613 21226 42452 53065 106130 212260 265325 530650 1061300 112635769 225271538 450543076 563178845 1126357690 2252715380 2815894225 5631788450 11263576900