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11153132032 = 29723135301
BaseRepresentation
bin10100110001100011…
…10100101000000000
31001210021120210220011
422120301310220000
5140320200211112
65042414154304
7543246025630
oct123061645000
931707523804
1011153132032
11480371a199
1221b31b2994
131089882013
1477b3726c0
1545423baa7
hex298c74a00

11153132032 has 80 divisors (see below), whose sum is σ = 26575477632. Its totient is φ = 4572057600.

The previous prime is 11153132027. The next prime is 11153132033. The reversal of 11153132032 is 23023135111.

It is a junction number, because it is equal to n+sod(n) for n = 11153131994 and 11153132012.

It is not an unprimeable number, because it can be changed into a prime (11153132033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14782 + ... + 150082.

Almost surely, 211153132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11153132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287738816).

11153132032 is an abundant number, since it is smaller than the sum of its proper divisors (15422345600).

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

11153132032 is an equidigital number, since it uses as much as digits as its factorization.

11153132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135349 (or 135333 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 11153132032 its reverse (23023135111), we get a palindrome (34176267143).

The spelling of 11153132032 in words is "eleven billion, one hundred fifty-three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1288 1472 1792 2576 2944 3584 5152 5888 10304 11776 20608 41216 82432 135301 270602 541204 947107 1082408 1894214 2164816 3111923 3788428 4329632 6223846 7576856 8659264 12447692 15153712 17318528 21783461 24895384 30307424 34637056 43566922 49790768 60614848 69274112 87133844 99581536 121229696 174267688 199163072 242459392 348535376 398326144 484918784 697070752 796652288 1394141504 1593304576 2788283008 5576566016 11153132032