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11027228940 = 22325713838111
BaseRepresentation
bin10100100010100011…
…00010100100001100
31001110111200021022200
422101101202210030
5140040432311230
65022115441500
7540156620340
oct122121424414
931414607280
1011027228940
114749646352
122178bb6290
13106976c250
1476875b620
1544816c160
hex29146290c

11027228940 has 288 divisors, whose sum is σ = 41669462016. Its totient is φ = 2298309120.

The previous prime is 11027228879. The next prime is 11027228957. The reversal of 11027228940 is 4982272011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11027228895 and 11027228904.

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, 1355485 + ... + 1363595.

It is an arithmetic number, because the mean of its divisors is an integer number (144685632).

Almost surely, 211027228940 is an apocalyptic number.

11027228940 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 11027228940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834731008).

11027228940 is an abundant number, since it is smaller than the sum of its proper divisors (30642233076).

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

11027228940 is a wasteful number, since it uses less digits than its factorization.

11027228940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8229 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11027228940 in words is "eleven billion, twenty-seven million, two hundred twenty-eight thousand, nine hundred forty".