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109283116032 = 210341317553
BaseRepresentation
bin110010111000111001…
…0000000010000000000
3101110002010110111110000
41211301302000100000
53242302434203112
6122112020240000
710616065105506
oct1456162002000
9343063414400
10109283116032
114238a519622
121921a840000
13a3c7b287cc
145409cd2676
152c991dc7dc
hex1971c80400

109283116032 has 110 divisors (see below), whose sum is σ = 326340997598. Its totient is φ = 36427677696.

The previous prime is 109283116009. The next prime is 109283116039. The reversal of 109283116032 is 230611382901.

109283116032 is a `hidden beast` number, since 10 + 9 + 2 + 8 + 31 + 1 + 603 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68988174336 + 40294941696 = 262656^2 + 200736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109283116039) 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 9 ways as a sum of consecutive naturals, for example, 575833 + ... + 741720.

Almost surely, 2109283116032 is an apocalyptic number.

109283116032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109283116032 is an abundant number, since it is smaller than the sum of its proper divisors (217057881566).

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

109283116032 is an equidigital number, since it uses as much as digits as its factorization.

109283116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317585 (or 1317558 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 109283116032 its reverse (230611382901), we get a palindrome (339894498933).

The spelling of 109283116032 in words is "one hundred nine billion, two hundred eighty-three million, one hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 1317553 2635106 3952659 5270212 7905318 10540424 11857977 15810636 21080848 23715954 31621272 35573931 42161696 47431908 63242544 71147862 84323392 94863816 106721793 126485088 142295724 168646784 189727632 213443586 252970176 284591448 337293568 379455264 426887172 505940352 569182896 674587136 758910528 853774344 1011880704 1138365792 1349174272 1517821056 1707548688 2023761408 2276731584 3035642112 3415097376 4047522816 4553463168 6071284224 6830194752 9106926336 12142568448 13660389504 18213852672 27320779008 36427705344 54641558016 109283116032