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1011200003220 = 22351121011379047
BaseRepresentation
bin11101011011100000011…
…01111000110010010100
310120200002021012112120010
432231300031320302110
5113031414200100340
62052312221240220
7133025323131441
oct16556015706224
93520067175503
101011200003220
1135a936049100
12143b88a03070
137448177ba94
1436d29ada9c8
151b484b60b80
hexeb70378c94

1011200003220 has 144 divisors (see below), whose sum is σ = 3142971748224. Its totient is φ = 242712096000.

The previous prime is 1011200003207. The next prime is 1011200003237. The reversal of 1011200003220 is 223000021101.

1011200003220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011200003196 and 1011200003205.

It is a congruent number.

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, 43737 + ... + 1422783.

It is an arithmetic number, because the mean of its divisors is an integer number (21826192696).

Almost surely, 21011200003220 is an apocalyptic number.

1011200003220 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 1011200003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571485874112).

1011200003220 is an abundant number, since it is smaller than the sum of its proper divisors (2131771745004).

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

1011200003220 is a wasteful number, since it uses less digits than its factorization.

1011200003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379182 (or 1379169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1011200003220 its reverse (223000021101), we get a palindrome (1234200024321).

The spelling of 1011200003220 in words is "one trillion, eleven billion, two hundred million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 132 165 202 220 242 303 330 363 404 484 505 605 606 660 726 1010 1111 1210 1212 1452 1515 1815 2020 2222 2420 3030 3333 3630 4444 5555 6060 6666 7260 11110 12221 13332 16665 22220 24442 33330 36663 48884 61105 66660 73326 122210 146652 183315 244420 366630 733260 1379047 2758094 4137141 5516188 6895235 8274282 13790470 15169517 16548564 20685705 27580940 30339034 41371410 45508551 60678068 75847585 82742820 91017102 139283747 151695170 166864687 182034204 227542755 278567494 303390340 333729374 417851241 455085510 500594061 557134988 667458748 696418735 834323435 835702482 910171020 1001188122 1392837470 1532121217 1668646870 1671404964 2002376244 2089256205 2502970305 2785674940 3064242434 3337293740 4178512410 4596363651 5005940610 6128484868 7660606085 8357024820 9192727302 10011881220 15321212170 16853333387 18385454604 22981818255 30642424340 33706666774 45963636510 50560000161 67413333548 84266666935 91927273020 101120000322 168533333870 202240000644 252800000805 337066667740 505600001610 1011200003220