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11114127360 = 21332575973
BaseRepresentation
bin10100101100111010…
…00010000000000000
31001200120012011112200
422112131002000000
5140230204033420
65034502153200
7542263344450
oct122635020000
931616164480
1011114127360
1147936a9426
1221a2122800
13108177652b
147760dbd60
15450ad4b90
hex296742000

11114127360 has 672 divisors, whose sum is σ = 45390084480. Its totient is φ = 2463105024.

The previous prime is 11114127331. The next prime is 11114127361. The reversal of 11114127360 is 6372141111.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114127361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152248284 + ... + 152248356.

Almost surely, 211114127360 is an apocalyptic number.

11114127360 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 11114127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22695042240).

11114127360 is an abundant number, since it is smaller than the sum of its proper divisors (34275957120).

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

11114127360 is an equidigital number, since it uses as much as digits as its factorization.

11114127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11114127360 its reverse (6372141111), we get a palindrome (17486268471).

The spelling of 11114127360 in words is "eleven billion, one hundred fourteen million, one hundred twenty-seven thousand, three hundred sixty".