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11241663220 = 2253178572069
BaseRepresentation
bin10100111100000111…
…00010101011110100
31002000110011122212001
422132003202223310
5141010331210340
65055255505044
7545402363224
oct123603425364
932013148761
1011241663220
114849697a67
122218988184
1310a200b538
1478901a084
1545bdc829a
hex29e0e2af4

11241663220 has 48 divisors (see below), whose sum is σ = 23721057360. Its totient is φ = 4475085824.

The previous prime is 11241663203. The next prime is 11241663227. The reversal of 11241663220 is 2236614211.

11241663220 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 8 ways, for example, as 845413776 + 10396249444 = 29076^2 + 101962^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241663227) 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 15 ways as a sum of consecutive naturals, for example, 5432346 + ... + 5434414.

It is an arithmetic number, because the mean of its divisors is an integer number (494188695).

Almost surely, 211241663220 is an apocalyptic number.

11241663220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241663220 is an abundant number, since it is smaller than the sum of its proper divisors (12479394140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11241663220 is a wasteful number, since it uses less digits than its factorization.

11241663220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 11241663220 in words is "eleven billion, two hundred forty-one million, six hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 317 634 857 1268 1585 1714 2069 3170 3428 4138 4285 6340 8276 8570 10345 17140 20690 41380 271669 543338 655873 1086676 1311746 1358345 1773133 2623492 2716690 3279365 3546266 5433380 6558730 7092532 8865665 13117460 17731330 35462660 562083161 1124166322 2248332644 2810415805 5620831610 11241663220