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11053313230400 = 265271746756501
BaseRepresentation
bin1010000011011000110011…
…0011110000011001000000
31110010200112101220101121022
42200312030303300121000
52422044141141333100
635301453315045012
72220401256154040
oct240661463603100
943120471811538
1011053313230400
113581758183001
1212a62582a0768
1362242772912c
142a2da9d27720
151427c6d66e85
hexa0d8ccf0640

11053313230400 has 168 divisors, whose sum is σ = 31085825576256. Its totient is φ = 3789423360000.

The previous prime is 11053313230391. The next prime is 11053313230403. The reversal of 11053313230400 is 403231335011.

It is a self number, because there is not a number n which added to its sum of digits gives 11053313230400.

It is not an unprimeable number, because it can be changed into a prime (11053313230403) 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 23 ways as a sum of consecutive naturals, for example, 195602150 + ... + 195658650.

Almost surely, 211053313230400 is an apocalyptic number.

11053313230400 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 11053313230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15542912788128).

11053313230400 is an abundant number, since it is smaller than the sum of its proper divisors (20032512345856).

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

11053313230400 is a wasteful number, since it uses less digits than its factorization.

11053313230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73997 (or 73982 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 11053313230400 its reverse (403231335011), we get a palindrome (11456544565411).

The spelling of 11053313230400 in words is "eleven trillion, fifty-three billion, three hundred thirteen million, two hundred thirty thousand, four hundred".