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21103203323100 = 22352127725376367
BaseRepresentation
bin1001100110001011110001…
…11100000000110011011100
32202201110001112010221120210
410303011320330000303130
510231223330022314400
6112514402222012420
74305441023366553
oct463057074006334
982643045127523
1021103203323100
1167a6900131098
122449b38117110
13ba103c922262
1452d586d36d9a
15268e21b8e950
hex133178f00cdc

21103203323100 has 144 divisors (see below), whose sum is σ = 61548668633088. Its totient is φ = 5582366818560.

The previous prime is 21103203323089. The next prime is 21103203323101. The reversal of 21103203323100 is 132330230112.

It is a super-2 number, since 2×211032033231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21103203323101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276301117 + ... + 276377483.

It is an arithmetic number, because the mean of its divisors is an integer number (427421309952).

Almost surely, 221103203323100 is an apocalyptic number.

21103203323100 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 21103203323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30774334316544).

21103203323100 is an abundant number, since it is smaller than the sum of its proper divisors (40445465309988).

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

21103203323100 is a wasteful number, since it uses less digits than its factorization.

21103203323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83764 (or 83757 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21103203323100 its reverse (132330230112), we get a palindrome (21235533553212).

The spelling of 21103203323100 in words is "twenty-one trillion, one hundred three billion, two hundred three million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7253 7620 9525 12700 14506 19050 21759 29012 36265 38100 43518 72530 76367 87036 108795 145060 152734 181325 217590 229101 305468 362650 381835 435180 458202 543975 725300 763670 916404 921131 1087950 1145505 1527340 1842262 1909175 2175900 2291010 2763393 3684524 3818350 4582020 4605655 5526786 5727525 7636700 9211310 9698609 11053572 11455050 13816965 18422620 19397218 22910100 23028275 27633930 29095827 38794436 46056550 48493045 55267860 58191654 69084825 92113100 96986090 116383308 138169650 145479135 193972180 242465225 276339300 290958270 484930450 553889851 581916540 727395675 969860900 1107779702 1454791350 1661669553 2215559404 2769449255 2909582700 3323339106 5538898510 6646678212 8308347765 11077797020 13847246275 16616695530 27694492550 33233391060 41541738825 55388985100 70344011077 83083477650 140688022154 166166955300 211032033231 281376044308 351720055385 422064066462 703440110770 844128132924 1055160166155 1406880221540 1758600276925 2110320332310 3517200553850 4220640664620 5275800830775 7034401107700 10551601661550 21103203323100