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1112112320 = 265111931637
BaseRepresentation
bin100001001001001…
…0111110011000000
32212111122011022012
41002102113303000
54234200043240
6302204232052
736362540654
oct10222276300
92774564265
101112112320
115208384a0
1227053b628
13149531b37
14a79b2a64
1567979b65
hex42497cc0

1112112320 has 112 divisors (see below), whose sum is σ = 2905707168. Its totient is φ = 402063360.

The previous prime is 1112112319. The next prime is 1112112359. The reversal of 1112112320 is 232112111.

It is a junction number, because it is equal to n+sod(n) for n = 1112112295 and 1112112304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678542 + ... + 680178.

It is an arithmetic number, because the mean of its divisors is an integer number (25943814).

Almost surely, 21112112320 is an apocalyptic number.

1112112320 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 1112112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452853584).

1112112320 is an abundant number, since it is smaller than the sum of its proper divisors (1793594848).

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

1112112320 is a wasteful number, since it uses less digits than its factorization.

1112112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1112112320 is about 33348.3480850251. The cubic root of 1112112320 is about 1036.0551741360.

Adding to 1112112320 its reverse (232112111), we get a palindrome (1344224431).

The spelling of 1112112320 in words is "one billion, one hundred twelve million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 193 220 320 352 386 440 704 772 880 965 1544 1637 1760 1930 2123 3088 3274 3520 3860 4246 6176 6548 7720 8185 8492 10615 12352 13096 15440 16370 16984 18007 21230 26192 30880 32740 33968 36014 42460 52384 61760 65480 67936 72028 84920 90035 104768 130960 135872 144056 169840 180070 261920 288112 315941 339680 360140 523840 576224 631882 679360 720280 1152448 1263764 1440560 1579705 2527528 2881120 3159410 3475351 5055056 5762240 6318820 6950702 10110112 12637640 13901404 17376755 20220224 25275280 27802808 34753510 50550560 55605616 69507020 101101120 111211232 139014040 222422464 278028080 556056160 1112112320