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11133130360 = 2351125799811
BaseRepresentation
bin10100101111001011…
…00001011001111000
31001201212221121202111
422113211201121320
5140300040132420
65040421342104
7542614022002
oct122745413170
931655847674
1011133130360
1147a33a8690
1221a8567934
13108569ac01
14778847372
154525da45a
hex297961678

11133130360 has 64 divisors (see below), whose sum is σ = 27340156800. Its totient is φ = 4046428800.

The previous prime is 11133130321. The next prime is 11133130367. The reversal of 11133130360 is 6303133111.

11133130360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111331303602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133130367) 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, 1129855 + ... + 1139665.

It is an arithmetic number, because the mean of its divisors is an integer number (427189950).

Almost surely, 211133130360 is an apocalyptic number.

11133130360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133130360 is an abundant number, since it is smaller than the sum of its proper divisors (16207026440).

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

11133130360 is a wasteful number, since it uses less digits than its factorization.

11133130360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11133130360 its reverse (6303133111), we get a palindrome (17436263471).

The spelling of 11133130360 in words is "eleven billion, one hundred thirty-three million, one hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2579 5158 9811 10316 12895 19622 20632 25790 28369 39244 49055 51580 56738 78488 98110 103160 107921 113476 141845 196220 215842 226952 283690 392440 431684 539605 567380 863368 1079210 1134760 2158420 4316840 25302569 50605138 101210276 126512845 202420552 253025690 278328259 506051380 556656518 1012102760 1113313036 1391641295 2226626072 2783282590 5566565180 11133130360