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11130133696 = 2611212711317
BaseRepresentation
bin10100101110110100…
…00101110011000000
31001201200022101002221
422113122011303000
5140243303234241
65040233220424
7542546401243
oct122732056300
931650271087
1011130133696
1147a1741200
1221a7561714
131084b8bc36
147782a725a
154521e75d1
hex297685cc0

11130133696 has 84 divisors (see below), whose sum is σ = 24470059264. Its totient is φ = 5018872320.

The previous prime is 11130133667. The next prime is 11130133789. The reversal of 11130133696 is 69633103111.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 977830 + ... + 989146.

Almost surely, 211130133696 is an apocalyptic number.

11130133696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235029632).

11130133696 is an abundant number, since it is smaller than the sum of its proper divisors (13339925568).

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

11130133696 is a wasteful number, since it uses less digits than its factorization.

11130133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 11130133696 in words is "eleven billion, one hundred thirty million, one hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 127 176 242 254 352 484 508 704 968 1016 1397 1936 2032 2794 3872 4064 5588 7744 8128 11176 11317 15367 22352 22634 30734 44704 45268 61468 89408 90536 122936 124487 181072 245872 248974 362144 491744 497948 724288 983488 995896 1369357 1437259 1991792 2738714 2874518 3983584 5477428 5749036 7967168 10954856 11498072 15809849 21909712 22996144 31619698 43819424 45992288 63239396 87638848 91984576 126478792 173908339 252957584 347816678 505915168 695633356 1011830336 1391266712 2782533424 5565066848 11130133696