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1113134440 = 235116134127
BaseRepresentation
bin100001001011001…
…0001010101101000
32212120120002101111
41002112101111220
54234430300230
6302242200104
736404325625
oct10226212550
92776502344
101113134440
11521376420
12270953034
131497cc142
14a7b9b34c
1567acc92a
hex42591568

1113134440 has 64 divisors (see below), whose sum is σ = 2737359360. Its totient is φ = 404017920.

The previous prime is 1113134431. The next prime is 1113134443. The reversal of 1113134440 is 444313111.

It is a happy number.

It is a super-2 number, since 2×11131344402 = 2478136563028227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1113134443) 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, 267657 + ... + 271783.

It is an arithmetic number, because the mean of its divisors is an integer number (42771240).

Almost surely, 21113134440 is an apocalyptic number.

1113134440 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 1113134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368679680).

1113134440 is an abundant number, since it is smaller than the sum of its proper divisors (1624224920).

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

1113134440 is a wasteful number, since it uses less digits than its factorization.

1113134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1113134440 is about 33363.6694624557. The cubic root of 1113134440 is about 1036.3724827490.

Adding to 1113134440 its reverse (444313111), we get a palindrome (1557447551).

The spelling of 1113134440 in words is "one billion, one hundred thirteen million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 613 1226 2452 3065 4127 4904 6130 6743 8254 12260 13486 16508 20635 24520 26972 33016 33715 41270 45397 53944 67430 82540 90794 134860 165080 181588 226985 269720 363176 453970 907940 1815880 2529851 5059702 10119404 12649255 20238808 25298510 27828361 50597020 55656722 101194040 111313444 139141805 222626888 278283610 556567220 1113134440