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1112109880 = 23572592163
BaseRepresentation
bin100001001001001…
…0111001100111000
32212111122000221211
41002102113030320
54234200004010
6302204212504
736362530600
oct10222271470
92774560854
101112109880
11520836682
1227053a134
131495309ab
14a79b1c00
156797908a
hex42497338

1112109880 has 144 divisors (see below), whose sum is σ = 2979114120. Its totient is φ = 372532608.

The previous prime is 1112109877. The next prime is 1112109883. The reversal of 1112109880 is 889012111.

It is an interprime number because it is at equal distance from previous prime (1112109877) and next prime (1112109883).

It is a super-3 number, since 3×11121098803 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112109883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6822679 + ... + 6822841.

Almost surely, 21112109880 is an apocalyptic number.

1112109880 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 1112109880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489557060).

1112109880 is an abundant number, since it is smaller than the sum of its proper divisors (1867004240).

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

1112109880 is a wasteful number, since it uses less digits than its factorization.

1112109880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 31.

The square root of 1112109880 is about 33348.3115014838. The cubic root of 1112109880 is about 1036.0544164258.

The spelling of 1112109880 in words is "one billion, one hundred twelve million, one hundred nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 59 70 98 118 140 163 196 236 245 280 295 326 392 413 472 490 590 652 815 826 980 1141 1180 1304 1630 1652 1960 2065 2282 2360 2891 3260 3304 3481 4130 4564 5705 5782 6520 6962 7987 8260 9128 9617 11410 11564 13924 14455 15974 16520 17405 19234 22820 23128 24367 27848 28910 31948 34810 38468 39935 45640 48085 48734 57820 63896 67319 69620 76936 79870 96170 97468 115640 121835 134638 139240 159740 170569 192340 194936 243670 269276 319480 336595 341138 384680 471233 487340 538552 567403 673190 682276 852845 942466 974680 1134806 1346380 1364552 1705690 1884932 2269612 2356165 2692760 2837015 3411380 3769864 3971821 4539224 4712330 5674030 6822760 7943642 9424660 11348060 15887284 18849320 19859105 22696120 27802747 31774568 39718210 55605494 79436420 111210988 139013735 158872840 222421976 278027470 556054940 1112109880