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109133024 = 25711133407
BaseRepresentation
bin1101000000100…
…11110011100000
321121100112100212
412200103303200
5210414224044
614455033252
72463421040
oct640236340
9247315325
10109133024
115666a290
123066b828
13197c0870
14106cb720
1598aaa9e
hex6813ce0

109133024 has 96 divisors (see below), whose sum is σ = 288562176. Its totient is φ = 39237120.

The previous prime is 109133023. The next prime is 109133033. The reversal of 109133024 is 420331901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109133023) 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, 30329 + ... + 33735.

It is an arithmetic number, because the mean of its divisors is an integer number (3005856).

Almost surely, 2109133024 is an apocalyptic number.

109133024 is a gapful number since it is divisible by the number (14) 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 109133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144281088).

109133024 is an abundant number, since it is smaller than the sum of its proper divisors (179429152).

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

109133024 is a wasteful number, since it uses less digits than its factorization.

109133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 109133024 is about 10446.6752605793. The cubic root of 109133024 is about 477.8798622000.

Adding to 109133024 its reverse (420331901), we get a palindrome (529464925).

The spelling of 109133024 in words is "one hundred nine million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 3407 4004 4576 6814 8008 13628 16016 23849 27256 32032 37477 44291 47698 54512 74954 88582 95396 109024 149908 177164 190792 262339 299816 310037 354328 381584 487201 524678 599632 620074 708656 763168 974402 1049356 1199264 1240148 1417312 1948804 2098712 2480296 3410407 3897608 4197424 4960592 6820814 7795216 8394848 9921184 13641628 15590432 27283256 54566512 109133024