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11133350120 = 235449619897
BaseRepresentation
bin10100101111001100…
…10111000011101000
31001201220100210012202
422113212113003220
5140300114200440
65040430155332
7542615625464
oct122746270350
931656323182
1011133350120
1147a3538802
1221a8652b48
131085746c49
147788a34a4
15452630615
hex2979970e8

11133350120 has 32 divisors (see below), whose sum is σ = 25105869000. Its totient is φ = 4443414528.

The previous prime is 11133350119. The next prime is 11133350147. The reversal of 11133350120 is 2105333111.

11133350120 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 6764404516 + 4368945604 = 82246^2 + 66098^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11133350092 and 11133350101.

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 7 ways as a sum of consecutive naturals, for example, 291989 + ... + 327908.

Almost surely, 211133350120 is an apocalyptic number.

11133350120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133350120 is an abundant number, since it is smaller than the sum of its proper divisors (13972518880).

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

11133350120 is a wasteful number, since it uses less digits than its factorization.

11133350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620357 (or 620353 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 11133350120 its reverse (2105333111), we get a palindrome (13238683231).

The spelling of 11133350120 in words is "eleven billion, one hundred thirty-three million, three hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 449 898 1796 2245 3592 4490 8980 17960 619897 1239794 2479588 3099485 4959176 6198970 12397940 24795880 278333753 556667506 1113335012 1391668765 2226670024 2783337530 5566675060 11133350120