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109256112 = 24327283383
BaseRepresentation
bin1101000001100…
…01110110110000
321121120210012200
412200301312300
5210432143422
614501423200
72464442640
oct640616660
9247523180
10109256112
1156743809
123070ab00
13198348b4
1410720520
1598d22ac
hex6831db0

109256112 has 120 divisors (see below), whose sum is σ = 351596544. Its totient is φ = 31024512.

The previous prime is 109256111. The next prime is 109256113. The reversal of 109256112 is 211652901.

109256112 is a `hidden beast` number, since 1 + 0 + 92 + 561 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (109256111) and next prime (109256113).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109256111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285073 + ... + 285455.

Almost surely, 2109256112 is an apocalyptic number.

109256112 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 109256112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175798272).

109256112 is an abundant number, since it is smaller than the sum of its proper divisors (242340432).

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

109256112 is a wasteful number, since it uses less digits than its factorization.

109256112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 109256112 is about 10452.5648527048. The cubic root of 109256112 is about 478.0594570158.

The spelling of 109256112 in words is "one hundred nine million, two hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 283 336 383 504 566 766 849 1008 1132 1149 1532 1698 1981 2264 2298 2547 2681 3064 3396 3447 3962 4528 4596 5094 5362 5943 6128 6792 6894 7924 8043 9192 10188 10724 11886 13584 13788 15848 16086 17829 18384 20376 21448 23772 24129 27576 31696 32172 35658 40752 42896 47544 48258 55152 64344 71316 95088 96516 108389 128688 142632 193032 216778 285264 325167 386064 433556 650334 758723 867112 975501 1300668 1517446 1734224 1951002 2276169 2601336 3034892 3902004 4552338 5202672 6069784 6828507 7804008 9104676 12139568 13657014 15608016 18209352 27314028 36418704 54628056 109256112