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11131270020 = 223351315110501
BaseRepresentation
bin10100101110111100…
…11011001110000100
31001201202110002212000
422113132123032010
5140244101120040
65040313425300
7542562143163
oct122736331604
931652402760
1011131270020
1147a2347a12
1221a7a0b230
131085199210
147784c13da
1545236e130
hex29779b384

11131270020 has 192 divisors, whose sum is σ = 37545070080. Its totient is φ = 2721600000.

The previous prime is 11131269991. The next prime is 11131270067. The reversal of 11131270020 is 2007213111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11131269975 and 11131270002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054770 + ... + 1065270.

It is an arithmetic number, because the mean of its divisors is an integer number (195547240).

Almost surely, 211131270020 is an apocalyptic number.

11131270020 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 11131270020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772535040).

11131270020 is an abundant number, since it is smaller than the sum of its proper divisors (26413800060).

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

11131270020 is a wasteful number, since it uses less digits than its factorization.

11131270020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 11131270020 its reverse (2007213111), we get a palindrome (13138483131).

The spelling of 11131270020 in words is "eleven billion, one hundred thirty-one million, two hundred seventy thousand, twenty".