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109682991 = 3411219231
BaseRepresentation
bin1101000100110…
…10000100101111
321122101110210000
412202122010233
5211034323431
614514515343
72501201325
oct642320457
9248343700
10109682991
1156a05500
1230895b53
1319953ca2
14107d1d15
1599689e6
hex689a12f

109682991 has 90 divisors (see below), whose sum is σ = 196205856. Its totient is φ = 60944400.

The previous prime is 109682987. The next prime is 109683019. The reversal of 109682991 is 199286901.

It is not a de Polignac number, because 109682991 - 22 = 109682987 is a prime.

It is a super-4 number, since 4×1096829914 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109682971) 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 89 ways as a sum of consecutive naturals, for example, 3538146 + ... + 3538176.

Almost surely, 2109682991 is an apocalyptic number.

109682991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

109682991 is a deficient number, since it is larger than the sum of its proper divisors (86522865).

109682991 is a wasteful number, since it uses less digits than its factorization.

109682991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 109682991 is about 10472.9647664833. The cubic root of 109682991 is about 478.6812630740.

The spelling of 109682991 in words is "one hundred nine million, six hundred eighty-two thousand, nine hundred ninety-one".

Divisors: 1 3 9 11 19 27 31 33 57 81 93 99 121 171 209 279 297 341 361 363 513 589 627 837 891 1023 1083 1089 1539 1767 1881 2299 2511 3069 3249 3267 3751 3971 5301 5643 6479 6897 9207 9747 9801 11191 11253 11913 15903 16929 19437 20691 27621 29241 33573 33759 35739 43681 47709 58311 62073 71269 100719 101277 107217 123101 131043 174933 186219 213807 302157 303831 321651 369303 393129 524799 641421 906471 1107909 1179387 1354111 1924263 3323727 3538161 4062333 5772789 9971181 12186999 36560997 109682991