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11114220000 = 253541314249
BaseRepresentation
bin10100101100111010…
…11000100111100000
31001200120100212121210
422112131120213200
5140230220020000
65034504150120
7542264211522
oct122635304740
931616325553
1011114220000
114793761a94
1221a2168340
1310817a9750
14776123a12
15450b02350
hex2967589e0

11114220000 has 240 divisors, whose sum is σ = 39263994000. Its totient is φ = 2735616000.

The previous prime is 11114219969. The next prime is 11114220041. The reversal of 11114220000 is 2241111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 772876 + ... + 787124.

It is an arithmetic number, because the mean of its divisors is an integer number (163599975).

Almost surely, 211114220000 is an apocalyptic number.

11114220000 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 11114220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19631997000).

11114220000 is an abundant number, since it is smaller than the sum of its proper divisors (28149774000).

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

11114220000 is a wasteful number, since it uses less digits than its factorization.

11114220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14295 (or 14272 counting only the distinct ones).

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

Adding to 11114220000 its reverse (2241111), we get a palindrome (11116461111).

The spelling of 11114220000 in words is "eleven billion, one hundred fourteen million, two hundred twenty thousand".