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11235313540 = 22511293174299
BaseRepresentation
bin10100111011010110…
…10100011110000100
31002000000020001201201
422131223110132010
5141002220013130
65054511432244
7545264406103
oct123553243604
932000201651
1011235313540
1148460503a0
122216825684
1310a08c7329
1478824603a
1545b571bca
hex29dad4784

11235313540 has 48 divisors (see below), whose sum is σ = 25827076800. Its totient is φ = 4071601280.

The previous prime is 11235313519. The next prime is 11235313541. The reversal of 11235313540 is 4531353211.

It is a happy number.

11235313540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11235313499 and 11235313508.

It is not an unprimeable number, because it can be changed into a prime (11235313541) 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, 22690 + ... + 151609.

It is an arithmetic number, because the mean of its divisors is an integer number (538064100).

Almost surely, 211235313540 is an apocalyptic number.

11235313540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11235313540 is an abundant number, since it is smaller than the sum of its proper divisors (14591763260).

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

11235313540 is a wasteful number, since it uses less digits than its factorization.

11235313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174612 (or 174610 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 11235313540 its reverse (4531353211), we get a palindrome (15766666751).

The spelling of 11235313540 in words is "eleven billion, two hundred thirty-five million, three hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 586 1172 1465 2930 3223 5860 6446 12892 16115 32230 64460 174299 348598 697196 871495 1742990 1917289 3485980 3834578 7669156 9586445 19172890 38345780 51069607 102139214 204278428 255348035 510696070 561765677 1021392140 1123531354 2247062708 2808828385 5617656770 11235313540