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11122210020 = 22351511677351
BaseRepresentation
bin10100101101110111…
…10111010011100100
31001201010101210212110
422112323313103210
5140234241210040
65035351321020
7542422140165
oct122673672344
931633353773
1011122210020
11479821a009
1221a4980170
13108334647c
1477720376c
1545167e980
hex296ef74e4

11122210020 has 96 divisors (see below), whose sum is σ = 31540432896. Its totient is φ = 2928240000.

The previous prime is 11122210019. The next prime is 11122210061. The reversal of 11122210020 is 2001222111.

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 = 11122209978 and 11122210005.

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, 1509345 + ... + 1516695.

It is an arithmetic number, because the mean of its divisors is an integer number (328546176).

Almost surely, 211122210020 is an apocalyptic number.

11122210020 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 11122210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770216448).

11122210020 is an abundant number, since it is smaller than the sum of its proper divisors (20418222876).

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

11122210020 is a wasteful number, since it uses less digits than its factorization.

11122210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11122210020 its reverse (2001222111), we get a palindrome (13123432131).

The spelling of 11122210020 in words is "eleven billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 167 302 334 453 501 604 668 755 835 906 1002 1510 1670 1812 2004 2265 2505 3020 3340 4530 5010 7351 9060 10020 14702 22053 25217 29404 36755 44106 50434 73510 75651 88212 100868 110265 126085 147020 151302 220530 252170 302604 378255 441060 504340 756510 1110001 1227617 1513020 2220002 2455234 3330003 3682851 4440004 4910468 5550005 6138085 6660006 7365702 11100010 12276170 13320012 14731404 16650015 18414255 22200020 24552340 33300030 36828510 66600060 73657020 185370167 370740334 556110501 741480668 926850835 1112221002 1853701670 2224442004 2780552505 3707403340 5561105010 11122210020