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11103230322000 = 2432533724376841
BaseRepresentation
bin1010000110010010110000…
…0110010110010101010000
31110022110101012201101021200
42201210230012112111100
52423403403430301000
635340430435351200
72224116253351245
oct241445406262520
943273335641250
1011103230322000
1135a0943068813
1212b3a69452500
1362705125aa1b
142a55836355cc
15143c492d1500
hexa192c196550

11103230322000 has 480 divisors, whose sum is σ = 39850154751264. Its totient is φ = 2879235072000.

The previous prime is 11103230321947. The next prime is 11103230322007. The reversal of 11103230322000 is 22303230111.

11103230322000 is a `hidden beast` number, since 1 + 110 + 3 + 230 + 322 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1406159585856 + 9697070736144 = 1185816^2 + 3114012^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103230322007) 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 95 ways as a sum of consecutive naturals, for example, 1623038580 + ... + 1623045420.

Almost surely, 211103230322000 is an apocalyptic number.

11103230322000 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 11103230322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925077375632).

11103230322000 is an abundant number, since it is smaller than the sum of its proper divisors (28746924429264).

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

11103230322000 is a wasteful number, since it uses less digits than its factorization.

11103230322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11103230322000 its reverse (22303230111), we get a palindrome (11125533552111).

The spelling of 11103230322000 in words is "eleven trillion, one hundred three billion, two hundred thirty million, three hundred twenty-two thousand".