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1113104340 = 223251792193
BaseRepresentation
bin100001001011000…
…1001111111010100
32212120111120002200
41002112021333110
54234423314330
6302241404500
736404142105
oct10226117724
92776446080
101113104340
11521355847
12270939730
131497bb52a
14a7b903ac
1567ac3a60
hex42589fd4

1113104340 has 108 divisors (see below), whose sum is σ = 3412977204. Its totient is φ = 293640192.

The previous prime is 1113104309. The next prime is 1113104401. The reversal of 1113104340 is 434013111.

1113104340 is a `hidden beast` number, since 1 + 11 + 310 + 4 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 333354564 + 779749776 = 18258^2 + 27924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5767284 + ... + 5767476.

Almost surely, 21113104340 is an apocalyptic number.

1113104340 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 1113104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706488602).

1113104340 is an abundant number, since it is smaller than the sum of its proper divisors (2299872864).

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

1113104340 is a wasteful number, since it uses less digits than its factorization.

1113104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1113104340 is about 33363.2183699355. The cubic root of 1113104340 is about 1036.3631412320.

Adding to 1113104340 its reverse (434013111), we get a palindrome (1547117451).

The spelling of 1113104340 in words is "one billion, one hundred thirteen million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 193 358 386 537 579 716 772 895 965 1074 1158 1611 1737 1790 1930 2148 2316 2685 2895 3222 3474 3580 3860 5370 5790 6444 6948 8055 8685 10740 11580 16110 17370 32041 32220 34547 34740 64082 69094 96123 103641 128164 138188 160205 172735 192246 207282 288369 310923 320410 345470 384492 414564 480615 518205 576738 621846 640820 690940 961230 1036410 1153476 1243692 1441845 1554615 1922460 2072820 2883690 3109230 5767380 6183913 6218460 12367826 18551739 24735652 30919565 37103478 55655217 61839130 74206956 92758695 111310434 123678260 185517390 222620868 278276085 371034780 556552170 1113104340