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11025314300 = 2252711213171931
BaseRepresentation
bin10100100010010100…
…01111000111111100
31001110101001222221002
422101022033013330
5140034440024200
65022010425432
7540134424320
oct122112170774
931411058832
1011025314300
114748558900
122178432278
13106924b920
147683bd980
15447ddebd5
hex29128f1fc

11025314300 has 864 divisors, whose sum is σ = 37237616640. Its totient is φ = 2737152000.

The previous prime is 11025314273. The next prime is 11025314303. The reversal of 11025314300 is 341352011.

11025314300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11025314303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 355655285 + ... + 355655315.

Almost surely, 211025314300 is an apocalyptic number.

11025314300 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 11025314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618808320).

11025314300 is an abundant number, since it is smaller than the sum of its proper divisors (26212302340).

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

11025314300 is a wasteful number, since it uses less digits than its factorization.

11025314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11025314300 its reverse (341352011), we get a palindrome (11366666311).

The spelling of 11025314300 in words is "eleven billion, twenty-five million, three hundred fourteen thousand, three hundred".