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109443312 = 243611853
BaseRepresentation
bin1101000010111…
…11100011110000
321121221022000000
412201133203300
5211004141222
614505430000
72466152466
oct641374360
9247838000
10109443312
1156861420
123079b300
131989bb74
141076c836
15991c9ac
hex685f8f0

109443312 has 140 divisors (see below), whose sum is σ = 347232984. Its totient is φ = 33125760.

The previous prime is 109443281. The next prime is 109443317. The reversal of 109443312 is 213344901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109443317) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 127878 + ... + 128730.

Almost surely, 2109443312 is an apocalyptic number.

109443312 is a gapful number since it is divisible by the number (12) 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 109443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173616492).

109443312 is an abundant number, since it is smaller than the sum of its proper divisors (237789672).

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

109443312 is an equidigital number, since it uses as much as digits as its factorization.

109443312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 109443312 is about 10461.5157601564. The cubic root of 109443312 is about 478.3323377571.

The spelling of 109443312 in words is "one hundred nine million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 853 891 972 1188 1296 1458 1584 1706 1782 1944 2376 2559 2673 2916 3412 3564 3888 4752 5118 5346 5832 6824 7128 7677 8019 9383 10236 10692 11664 13648 14256 15354 16038 18766 20472 21384 23031 28149 30708 32076 37532 40944 42768 46062 56298 61416 64152 69093 75064 84447 92124 112596 122832 128304 138186 150128 168894 184248 207279 225192 253341 276372 337788 368496 414558 450384 506682 552744 621837 675576 760023 829116 1013364 1105488 1243674 1351152 1520046 1658232 2026728 2280069 2487348 3040092 3316464 4053456 4560138 4974696 6080184 6840207 9120276 9949392 12160368 13680414 18240552 27360828 36481104 54721656 109443312