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11130500000 = 2556113197
BaseRepresentation
bin10100101110110110…
…11111001110100000
31001201200222222120202
422113123133032200
5140243402000000
65040245124332
7542552455214
oct122733371640
931650888522
1011130500000
1147a1971434
1221a76b96a8
131084c89899
14778360944
1545226add5
hex2976df3a0

11130500000 has 168 divisors, whose sum is σ = 27773785116. Its totient is φ = 4390400000.

The previous prime is 11130499987. The next prime is 11130500027. The reversal of 11130500000 is 503111.

It can be written as a sum of positive squares in 14 ways, for example, as 9785957776 + 1344542224 = 98924^2 + 36668^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56499902 + ... + 56500098.

Almost surely, 211130500000 is an apocalyptic number.

11130500000 is a gapful number since it is divisible by the number (10) 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 11130500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886892558).

11130500000 is an abundant number, since it is smaller than the sum of its proper divisors (16643285116).

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

11130500000 is an frugal number, since it uses more digits than its factorization.

11130500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The spelling of 11130500000 in words is "eleven billion, one hundred thirty million, five hundred thousand".