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2103311221020 = 22325196110082021
BaseRepresentation
bin11110100110110111000…
…111100100000100011100
321110002000101010122112100
4132212313013210010130
5233430040133033040
64250125311005100
7304650004252122
oct36466707440434
97402011118470
102103311221020
11741011395289
1229b776809790
13123459084699
1473b2d5ab912
1539aa2c84b30
hex1e9b71e411c

2103311221020 has 144 divisors (see below), whose sum is σ = 6825932174880. Its totient is φ = 522651916800.

The previous prime is 2103311221013. The next prime is 2103311221027. The reversal of 2103311221020 is 201221133012.

2103311221020 is a `hidden beast` number, since 210 + 331 + 1 + 22 + 102 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2103311221013) and next prime (2103311221027).

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 = 2103311220984 and 2103311221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103311221027) 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, 4832391 + ... + 5249630.

It is an arithmetic number, because the mean of its divisors is an integer number (47402306770).

Almost surely, 22103311221020 is an apocalyptic number.

2103311221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103311221020 is an abundant number, since it is smaller than the sum of its proper divisors (4722620953860).

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

2103311221020 is a wasteful number, since it uses less digits than its factorization.

2103311221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082116 (or 10082111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2103311221020 its reverse (201221133012), we get a palindrome (2304532354032).

The spelling of 2103311221020 in words is "two trillion, one hundred three billion, three hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 610 684 732 855 915 1098 1140 1159 1220 1710 1830 2196 2318 2745 3420 3477 3660 4636 5490 5795 6954 10431 10980 11590 13908 17385 20862 23180 34770 41724 52155 69540 104310 208620 10082021 20164042 30246063 40328084 50410105 60492126 90738189 100820210 120984252 151230315 181476378 191558399 201640420 302460630 362952756 383116798 453690945 574675197 604921260 615003281 766233596 907381890 957791995 1149350394 1230006562 1724025591 1814763780 1845009843 1915583990 2298700788 2460013124 2873375985 3075016405 3448051182 3690019686 3831167980 5535029529 5746751970 6150032810 6896102364 7380039372 8620127955 9225049215 11070059058 11493503940 11685062339 12300065620 17240255910 18450098430 22140118116 23370124678 27675147645 34480511820 35055187017 36900196860 46740249356 55350295290 58425311695 70110374034 105165561051 110700590580 116850623390 140220748068 175275935085 210331122102 233701246780 350551870170 420662244204 525827805255 701103740340 1051655610510 2103311221020