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11120110000020 = 22325789127780809
BaseRepresentation
bin1010000111010001101000…
…1101001101011110010100
31110101001221120210212110200
42201310122031031132110
52424142441130000040
635352301421420500
72225254456300440
oct241643215153624
943331846725420
1011120110000020
1135a801521573a
1212b719a40a730
13628811343798
142a6305353820
151443d613c630
hexa1d1a34d794

11120110000020 has 288 divisors, whose sum is σ = 39289859481600. Its totient is φ = 2493388541952.

The previous prime is 11120110000007. The next prime is 11120110000037. The reversal of 11120110000020 is 2000001102111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11120109999957 and 11120110000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13851376 + ... + 14632184.

It is an arithmetic number, because the mean of its divisors is an integer number (136423123200).

Almost surely, 211120110000020 is an apocalyptic number.

11120110000020 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 11120110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19644929740800).

11120110000020 is an abundant number, since it is smaller than the sum of its proper divisors (28169749481580).

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

11120110000020 is a wasteful number, since it uses less digits than its factorization.

11120110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781047 (or 781042 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120110000020 its reverse (2000001102111), we get a palindrome (13120111102131).

The spelling of 11120110000020 in words is "eleven trillion, one hundred twenty billion, one hundred ten million, twenty", and thus it is an aban number.