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11255235233 = 112611937901
BaseRepresentation
bin10100111101101110…
…10100001010100001
31002001101201012011012
422132313110022201
5141022320011413
65100502430305
7545625630614
oct123667241241
932041635135
1011255235233
114856317900
122221432395
1310a4a80c08
1478ab5017b
1545d1a97a8
hex29edd42a1

11255235233 has 24 divisors (see below), whose sum is σ = 12641019048. Its totient is φ = 10010880000.

The previous prime is 11255235227. The next prime is 11255235259. The reversal of 11255235233 is 33253255211.

11255235233 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 29408929 + 11225826304 = 5423^2 + 105952^2 .

It is not a de Polignac number, because 11255235233 - 218 = 11254973089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11255235233.

It is not an unprimeable number, because it can be changed into a prime (11255235223) 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 23 ways as a sum of consecutive naturals, for example, 1420583 + ... + 1428483.

It is an arithmetic number, because the mean of its divisors is an integer number (526709127).

Almost surely, 211255235233 is an apocalyptic number.

It is an amenable number.

11255235233 is a deficient number, since it is larger than the sum of its proper divisors (1385783815).

11255235233 is a wasteful number, since it uses less digits than its factorization.

11255235233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8166 counting only the distinct ones).

The product of its digits is 27000, while the sum is 32.

The spelling of 11255235233 in words is "eleven billion, two hundred fifty-five million, two hundred thirty-five thousand, two hundred thirty-three".

Divisors: 1 11 61 121 193 671 2123 7381 7901 11773 23353 86911 129503 481961 956021 1424533 1524893 5301571 16773823 58317281 93018473 184512053 1023203203 11255235233