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109834788390 = 235311995411097
BaseRepresentation
bin110011001001010101…
…0011101111000100110
3101111111120112100122120
41212102222131320212
53244420201212030
6122242444410410
710635544203645
oct1462252357046
9344446470576
10109834788390
1142642969198
1219353546a06
13a485203262
14545d29935c
152ccc861010
hex1992a9de26

109834788390 has 128 divisors (see below), whose sum is σ = 274229452800. Its totient is φ = 28124236800.

The previous prime is 109834788367. The next prime is 109834788391. The reversal of 109834788390 is 93887438901.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109834788391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100122322 + ... + 100123418.

It is an arithmetic number, because the mean of its divisors is an integer number (2142417600).

Almost surely, 2109834788390 is an apocalyptic number.

109834788390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109834788390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137114726400).

109834788390 is an abundant number, since it is smaller than the sum of its proper divisors (164394664410).

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

109834788390 is a wasteful number, since it uses less digits than its factorization.

109834788390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878.

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 109834788390 in words is "one hundred nine billion, eight hundred thirty-four million, seven hundred eighty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 199 310 398 465 541 597 930 995 1082 1097 1194 1623 1990 2194 2705 2985 3246 3291 5410 5485 5970 6169 6582 8115 10970 12338 16230 16455 16771 18507 30845 32910 33542 34007 37014 50313 61690 68014 83855 92535 100626 102021 107659 167710 170035 185070 204042 215318 218303 251565 322977 340070 436606 503130 510105 538295 593477 645954 654909 1020210 1076590 1091515 1186954 1309818 1614885 1780431 2183030 2967385 3229770 3274545 3337429 3560862 5934770 6549090 6674858 6767393 8902155 10012287 13534786 16687145 17804310 18397787 20024574 20302179 33374290 33836965 36795574 40604358 50061435 55193361 67673930 91988935 100122870 101510895 110386722 118101923 183977870 203021790 236203846 275966805 354305769 551933610 590509615 708611538 1181019230 1771528845 3543057690 3661159613 7322319226 10983478839 18305798065 21966957678 36611596130 54917394195 109834788390