Search a number
-
+
11252400255 = 335121768489
BaseRepresentation
bin10100111101011001…
…00000000001111111
31002001012101011022000
422132230200001333
5141021103302010
65100321553343
7545562552435
oct123654400177
932035334260
1011252400255
114854760948
1222204a5853
1310a42ca705
1478a612d55
1545cce97c0
hex29eb2007f

11252400255 has 32 divisors (see below), whose sum is σ = 20020996800. Its totient is φ = 5996261376.

The previous prime is 11252400227. The next prime is 11252400293. The reversal of 11252400255 is 55200425211.

11252400255 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 2 + 400 + 255 = 666.

11252400255 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11252400255 - 27 = 11252400127 is a prime.

It is a super-2 number, since 2×112524002552 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 130051 + ... + 198539.

It is an arithmetic number, because the mean of its divisors is an integer number (625656150).

Almost surely, 211252400255 is an apocalyptic number.

11252400255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11252400255 is a deficient number, since it is larger than the sum of its proper divisors (8768596545).

11252400255 is a wasteful number, since it uses less digits than its factorization.

11252400255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69720 (or 69714 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 11252400255 its reverse (55200425211), we get a palindrome (66452825466).

The spelling of 11252400255 in words is "eleven billion, two hundred fifty-two million, four hundred thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 1217 3651 6085 10953 18255 32859 54765 68489 164295 205467 342445 616401 1027335 1849203 3082005 9246015 83351113 250053339 416755565 750160017 1250266695 2250480051 3750800085 11252400255