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15314221100 = 2252237989947
BaseRepresentation
bin11100100001100110…
…00111100000101100
31110112021102001000002
432100303013200230
5222330420033400
611011340523432
71051333505633
oct162063074054
943467361002
1015314221100
116549529a82
122b74850578
1315a0985ab9
14a53c5a51a
155e96d1ed5
hex390cc782c

15314221100 has 144 divisors (see below), whose sum is σ = 35547724800. Its totient is φ = 5714142720.

The previous prime is 15314221093. The next prime is 15314221127. The reversal of 15314221100 is 112241351.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16170827 + ... + 16171773.

It is an arithmetic number, because the mean of its divisors is an integer number (246859200).

Almost surely, 215314221100 is an apocalyptic number.

15314221100 is a gapful number since it is divisible by the number (10) 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 15314221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773862400).

15314221100 is an abundant number, since it is smaller than the sum of its proper divisors (20233503700).

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

15314221100 is a wasteful number, since it uses less digits than its factorization.

15314221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 15314221100 its reverse (112241351), we get a palindrome (15426462451).

The spelling of 15314221100 in words is "fifteen billion, three hundred fourteen million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 79 89 92 100 115 158 178 230 316 356 395 445 460 575 790 890 947 1150 1580 1780 1817 1894 1975 2047 2225 2300 3634 3788 3950 4094 4450 4735 7031 7268 7900 8188 8900 9085 9470 10235 14062 18170 18940 20470 21781 23675 28124 35155 36340 40940 43562 45425 47350 51175 70310 74813 84283 87124 90850 94700 102350 108905 140620 149626 161713 168566 175775 181700 204700 217810 299252 323426 337132 351550 374065 421415 435620 544525 646852 703100 748130 808565 842830 1089050 1496260 1617130 1685660 1720699 1870325 1938509 2107075 2178100 3234260 3441398 3740650 3877018 4042825 4214150 6658357 6882796 7481300 7754036 8085650 8428300 8603495 9692545 13316714 16171300 17206990 19385090 26633428 33291785 34413980 38770180 43017475 48462725 66583570 86034950 96925450 133167140 153142211 166458925 172069900 193850900 306284422 332917850 612568844 665835700 765711055 1531422110 3062844220 3828555275 7657110550 15314221100