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1113000000 = 26356753
BaseRepresentation
bin100001001010111…
…0000100001000000
32212120022020222020
41002111300201000
54234412000000
6302235241440
736403225650
oct10225604100
92776266866
101113000000
11521294412
122708a9280
13149782ba8
14a7b64360
1567aa2ba0
hex42570840

1113000000 has 392 divisors, whose sum is σ = 4286195136. Its totient is φ = 249600000.

The previous prime is 1112999989. The next prime is 1113000001. The reversal of 1113000000 is 3111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20999974 + ... + 21000026.

Almost surely, 21113000000 is an apocalyptic number.

1113000000 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 1113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143097568).

1113000000 is an abundant number, since it is smaller than the sum of its proper divisors (3173195136).

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

1113000000 is an frugal number, since it uses more digits than its factorization.

1113000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1113000000 is about 33361.6546352246. The cubic root of 1113000000 is about 1036.3307580717.

Adding to 1113000000 its reverse (3111), we get a palindrome (1113003111).

The spelling of 1113000000 in words is "one billion, one hundred thirteen million", and thus it is an aban number.