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112233455680 = 2653710978641
BaseRepresentation
bin110100010000110100…
…0101010000001000000
3101201200202001021120211
41220201220222001000
53314323231040210
6123320452243504
711052151430023
oct1504150520100
9351622037524
10112233455680
1143663950455
1219902910594
13a778143408
145609a8d1ba
152dbd22238a
hex1a21a2a040

112233455680 has 112 divisors (see below), whose sum is σ = 274761051696. Its totient is φ = 43635179520.

The previous prime is 112233455671. The next prime is 112233455689. The reversal of 112233455680 is 86554332211.

It is an interprime number because it is at equal distance from previous prime (112233455671) and next prime (112233455689).

It can be written as a sum of positive squares in 8 ways, for example, as 7630371904 + 104603083776 = 87352^2 + 323424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (112233455689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12984160 + ... + 12992800.

Almost surely, 2112233455680 is an apocalyptic number.

112233455680 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 112233455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137380525848).

112233455680 is an abundant number, since it is smaller than the sum of its proper divisors (162527596016).

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

112233455680 is a wasteful number, since it uses less digits than its factorization.

112233455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 112233455680 its reverse (86554332211), we get a palindrome (198787787891).

The spelling of 112233455680 in words is "one hundred twelve billion, two hundred thirty-three million, four hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1097 1184 1480 2194 2368 2960 4388 5485 5920 8641 8776 10970 11840 17282 17552 21940 34564 35104 40589 43205 43880 69128 70208 81178 86410 87760 138256 162356 172820 175520 202945 276512 319717 324712 345640 351040 405890 553024 639434 649424 691280 811780 1278868 1298848 1382560 1598585 1623560 2557736 2597696 2765120 3197170 3247120 5115472 6394340 6494240 9479177 10230944 12788680 12988480 18958354 20461888 25577360 37916708 47395885 51154720 75833416 94791770 102309440 151666832 189583540 303333664 350729549 379167080 606667328 701459098 758334160 1402918196 1516668320 1753647745 2805836392 3033336640 3507295490 5611672784 7014590980 11223345568 14029181960 22446691136 28058363920 56116727840 112233455680