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11243700000 = 25325513312
BaseRepresentation
bin10100111100010110…
…10011111100100000
31002000121000010210100
422132023103330200
5141011341400000
65055411302400
7545425605321
oct123613237440
932017003710
1011243700000
11484a859255
1222195aaa00
1310a2572630
147893ca448
1545c17ba00
hex29e2d3f20

11243700000 has 648 divisors, whose sum is σ = 44472692628. Its totient is φ = 2678400000.

The previous prime is 11243699953. The next prime is 11243700049. The reversal of 11243700000 is 734211.

11243700000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3072263184 + 8171436816 = 55428^2 + 90396^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 362699985 + ... + 362700015.

Almost surely, 211243700000 is an apocalyptic number.

11243700000 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 11243700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22236346314).

11243700000 is an abundant number, since it is smaller than the sum of its proper divisors (33228992628).

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

11243700000 is an equidigital number, since it uses as much as digits as its factorization.

11243700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 11243700000 in words is "eleven billion, two hundred forty-three million, seven hundred thousand".