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20103121410210 = 23351927071447631
BaseRepresentation
bin1001001001000100111110…
…11010010001100010100010
32122011211200002120220202000
410210202133122101202202
510113332143040111320
6110431125123504430
74143255042366456
oct444423732214242
978154602526660
1020103121410210
11645075aa488a3
122308152828116
13b2a9406a6767
144d6dd3a8a666
1524cddd147c90
hex12489f6918a2

20103121410210 has 128 divisors (see below), whose sum is σ = 56450699366400. Its totient is φ = 5076803666880.

The previous prime is 20103121410199. The next prime is 20103121410217. The reversal of 20103121410210 is 1201412130102.

20103121410210 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 312 + 141 + 0 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20103121410217) 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, 13163095 + ... + 14610725.

It is an arithmetic number, because the mean of its divisors is an integer number (441021088800).

Almost surely, 220103121410210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103121410210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28225349683200).

20103121410210 is an abundant number, since it is smaller than the sum of its proper divisors (36347577956190).

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

20103121410210 is a wasteful number, since it uses less digits than its factorization.

20103121410210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450373 (or 1450367 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20103121410210 its reverse (1201412130102), we get a palindrome (21304533540312).

The spelling of 20103121410210 in words is "twenty trillion, one hundred three billion, one hundred twenty-one million, four hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 2707 5130 5414 8121 13535 16242 24363 27070 40605 48726 51433 73089 81210 102866 121815 146178 154299 243630 257165 308598 365445 462897 514330 730890 771495 925794 1388691 1447631 1542990 2314485 2777382 2895262 4342893 4628970 6943455 7238155 8685786 13028679 13886910 14476310 21714465 26057358 27504989 39086037 43428930 55009978 65143395 78172074 82514967 130286790 137524945 165029934 195430185 247544901 275049890 390860370 412574835 495089802 742634703 825149670 1237724505 1485269406 2475449010 3713173515 3918737117 7426347030 7837474234 11756211351 19593685585 23512422702 35268634053 39187371170 58781056755 70537268106 74456005223 105805902159 117562113510 148912010446 176343170265 211611804318 223368015669 352686340530 372280026115 446736031338 529029510795 670104047007 744560052230 1058059021590 1116840078345 1340208094014 2010312141021 2233680156690 3350520235035 4020624282042 6701040470070 10051560705105 20103121410210