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1112461116 = 2231325128411
BaseRepresentation
bin100001001001110…
…1100111100111100
32212112021212202120
41002103230330330
54234242223431
6302215522540
736365522604
oct10223547474
92775255676
101112461116
11520a56558
12270689450
13149624820
14a7a63c04
15679e8196
hex424ecf3c

1112461116 has 48 divisors (see below), whose sum is σ = 2806651008. Its totient is φ = 340920000.

The previous prime is 1112461109. The next prime is 1112461117. The reversal of 1112461116 is 6111642111.

It is a super-2 number, since 2×11124611162 = 2475139469223930912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112461117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24951 + ... + 53361.

It is an arithmetic number, because the mean of its divisors is an integer number (58471896).

Almost surely, 21112461116 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 1112461116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403325504).

1112461116 is an abundant number, since it is smaller than the sum of its proper divisors (1694189892).

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

1112461116 is a wasteful number, since it uses less digits than its factorization.

1112461116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28682 (or 28680 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The square root of 1112461116 is about 33353.5772594185. The cubic root of 1112461116 is about 1036.1634767841.

The spelling of 1112461116 in words is "one billion, one hundred twelve million, four hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 3012 3263 6526 9789 13052 19578 28411 39156 56822 85233 113644 170466 340932 369343 738686 1108029 1477372 2216058 4432116 7131161 14262322 21393483 28524644 42786966 85573932 92705093 185410186 278115279 370820372 556230558 1112461116