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11130103320 = 23357171495231
BaseRepresentation
bin10100101110110011…
…11110011000011000
31001201200020211102220
422113121332120120
5140243301301240
65040232424040
7542546213550
oct122731763030
931650224386
1011130103320
1147a17203a6
1221a7548020
131084b7b16b
1477829a160
154521dd5d0
hex29767e618

11130103320 has 256 divisors, whose sum is σ = 40684032000. Its totient is φ = 2377850880.

The previous prime is 11130103289. The next prime is 11130103333. The reversal of 11130103320 is 2330103111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11130103320.

It is a congruent number.

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, 2125105 + ... + 2130335.

It is an arithmetic number, because the mean of its divisors is an integer number (158922000).

Almost surely, 211130103320 is an apocalyptic number.

11130103320 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 11130103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342016000).

11130103320 is an abundant number, since it is smaller than the sum of its proper divisors (29553928680).

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

11130103320 is a wasteful number, since it uses less digits than its factorization.

11130103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11130103320 its reverse (2330103111), we get a palindrome (13460206431).

The spelling of 11130103320 in words is "eleven billion, one hundred thirty million, one hundred three thousand, three hundred twenty".