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11021332014 = 23371119612287
BaseRepresentation
bin10100100001110110…
…00010111000101110
31001110002120200021000
422100323002320232
5140032430111024
65021345221130
7540055530210
oct122073027056
931402520230
1011021332014
114746288960
1221770317a6
131068486144
14767a645b0
154478a4cc9
hex290ec2e2e

11021332014 has 256 divisors, whose sum is σ = 32683622400. Its totient is φ = 2666390400.

The previous prime is 11021331977. The next prime is 11021332051. The reversal of 11021332014 is 41023312011.

It is an interprime number because it is at equal distance from previous prime (11021331977) and next prime (11021332051).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4817979 + ... + 4820265.

It is an arithmetic number, because the mean of its divisors is an integer number (127670400).

Almost surely, 211021332014 is an apocalyptic number.

11021332014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341811200).

11021332014 is an abundant number, since it is smaller than the sum of its proper divisors (21662290386).

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

11021332014 is a wasteful number, since it uses less digits than its factorization.

11021332014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11021332014 its reverse (41023312011), we get a palindrome (52044644025).

The spelling of 11021332014 in words is "eleven billion, twenty-one million, three hundred thirty-two thousand, fourteen".