Search a number
-
+
11240241300 = 22325212489157
BaseRepresentation
bin10100111011111100…
…00111100010010100
31002000100111102100100
422131332013202110
5141010000210200
65055205214100
7545354321541
oct123576074224
932010442310
1011240241300
114848906722
122218401330
1310a1931272
14788b69bc8
1545bbe6d00
hex29df87894

11240241300 has 54 divisors (see below), whose sum is σ = 35231914718. Its totient is φ = 2997397440.

The previous prime is 11240241269. The next prime is 11240241301. The reversal of 11240241300 is 314204211.

11240241300 is a `hidden beast` number, since 1 + 124 + 0 + 241 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4043433744 + 7196807556 = 63588^2 + 84834^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240241301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6243679 + ... + 6245478.

Almost surely, 211240241300 is an apocalyptic number.

11240241300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240241300 is an abundant number, since it is smaller than the sum of its proper divisors (23991673418).

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

11240241300 is a wasteful number, since it uses less digits than its factorization.

11240241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12489177 (or 12489167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11240241300 its reverse (314204211), we get a palindrome (11554445511).

The spelling of 11240241300 in words is "eleven billion, two hundred forty million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12489157 24978314 37467471 49956628 62445785 74934942 112402413 124891570 149869884 187337355 224804826 249783140 312228925 374674710 449609652 562012065 624457850 749349420 936686775 1124024130 1248915700 1873373550 2248048260 2810060325 3746747100 5620120650 11240241300