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11122102320 = 2435723725561
BaseRepresentation
bin10100101101110110…
…11101000000110000
31001201010012100010120
422112323131000300
5140234224233240
65035345130240
7542421211200
oct122673350060
931633170116
1011122102320
1147981560aa
1221a4929980
131083309444
147771b6400
1545165cad0
hex296edd030

11122102320 has 240 divisors, whose sum is σ = 41193265248. Its totient is φ = 2473390080.

The previous prime is 11122102291. The next prime is 11122102337. The reversal of 11122102320 is 2320122111.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122102320.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422340 + ... + 447900.

Almost surely, 211122102320 is an apocalyptic number.

11122102320 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 11122102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596632624).

11122102320 is an abundant number, since it is smaller than the sum of its proper divisors (30071162928).

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

11122102320 is a wasteful number, since it uses less digits than its factorization.

11122102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25628 (or 25615 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11122102320 its reverse (2320122111), we get a palindrome (13442224431).

The spelling of 11122102320 in words is "eleven billion, one hundred twenty-two million, one hundred two thousand, three hundred twenty".