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11012001220 = 22511295093391
BaseRepresentation
bin10100100000101110…
…11100110111000100
31001102110000121211001
422100113130313010
5140023033014340
65020413223044
7536613315553
oct122027346704
931373017731
1011012001220
114740a95560
122173a91a84
13106656a06c
14766715d9a
15446b6029a
hex2905dcdc4

11012001220 has 96 divisors (see below), whose sum is σ = 26156390400. Its totient is φ = 3857548800.

The previous prime is 11012001197. The next prime is 11012001283. The reversal of 11012001220 is 2210021011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11012001197 and 11012001206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3245725 + ... + 3249115.

It is an arithmetic number, because the mean of its divisors is an integer number (272462400).

Almost surely, 211012001220 is an apocalyptic number.

11012001220 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 11012001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078195200).

11012001220 is an abundant number, since it is smaller than the sum of its proper divisors (15144389180).

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

11012001220 is a wasteful number, since it uses less digits than its factorization.

11012001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11012001220 its reverse (2210021011), we get a palindrome (13222022231).

The spelling of 11012001220 in words is "eleven billion, twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 509 580 638 1018 1276 1595 2036 2545 3190 3391 5090 5599 6380 6782 10180 11198 13564 14761 16955 22396 27995 29522 33910 37301 55990 59044 67820 73805 74602 98339 111980 147610 149204 162371 186505 196678 295220 324742 373010 393356 491695 649484 746020 811855 983390 1081729 1623710 1726019 1966780 2163458 3247420 3452038 4326916 5408645 6904076 8630095 10817290 17260190 18986209 21634580 34520380 37972418 50054551 75944836 94931045 100109102 189862090 200218204 250272755 379724180 500545510 550600061 1001091020 1101200122 2202400244 2753000305 5506000610 11012001220