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2103122302020 = 22325401143320333
BaseRepresentation
bin11110100110101011110…
…110111001010001000100
321110001112012122120101100
4132212223312321101010
5233424143302131040
64250054441500100
7304642221415635
oct36465366712104
97401465576340
102103122302020
11740a24790683
1229b7234a1630
13123428ba9cac
1473b1247188c
1539a913b8b30
hex1e9abdb9444

2103122302020 has 144 divisors (see below), whose sum is σ = 6400157570352. Its totient is φ = 559016140800.

The previous prime is 2103122301991. The next prime is 2103122302031. The reversal of 2103122302020 is 202032213012.

2103122302020 is a `hidden beast` number, since 210 + 31 + 223 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 983381622336 + 1119740679684 = 991656^2 + 1058178^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2103122301984 and 2103122302002.

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, 103423774 + ... + 103444106.

It is an arithmetic number, because the mean of its divisors is an integer number (44445538683).

Almost surely, 22103122302020 is an apocalyptic number.

2103122302020 is a gapful number since it is divisible by the number (20) 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 2103122302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200078785176).

2103122302020 is an abundant number, since it is smaller than the sum of its proper divisors (4297035268332).

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

2103122302020 is a wasteful number, since it uses less digits than its factorization.

2103122302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22182 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2103122302020 its reverse (202032213012), we get a palindrome (2305154515032).

The spelling of 2103122302020 in words is "two trillion, one hundred three billion, one hundred twenty-two million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1433 1604 2005 2406 2866 3609 4010 4299 4812 5732 6015 7165 7218 8020 8598 12030 12897 14330 14436 17196 18045 20333 21495 24060 25794 28660 36090 40666 42990 51588 60999 64485 72180 81332 85980 101665 121998 128970 182997 203330 243996 257940 304995 365994 406660 574633 609990 731988 914985 1149266 1219980 1723899 1829970 2298532 2873165 3447798 3659940 5171697 5746330 6895596 8153533 8619495 10343394 11492660 16307066 17238990 20686788 24460599 25858485 29137189 32614132 34477980 40767665 48921198 51716970 58274378 73381797 81535330 87411567 97842396 103433940 116548756 122302995 145685945 146763594 163070660 174823134 244605990 262234701 291371890 293527188 349646268 366908985 437057835 489211980 524469402 582743780 733817970 874115670 1048938804 1311173505 1467635940 1748231340 2622347010 5244694020 11684012789 23368025578 35052038367 46736051156 58420063945 70104076734 105156115101 116840127890 140208153468 175260191835 210312230202 233680255780 350520383670 420624460404 525780575505 701040767340 1051561151010 2103122302020