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11294394300 = 22335273137521
BaseRepresentation
bin10101000010011001…
…01100011110111100
31002011010101200022000
422201030230132330
5141112331104200
65104422022300
7546612524160
oct124114543674
932133350260
1011294394300
114876433672
122232577990
1310acc11a67
14792024ca0
15461842300
hex2a132c7bc

11294394300 has 576 divisors, whose sum is σ = 44077178880. Its totient is φ = 2426112000.

The previous prime is 11294394299. The next prime is 11294394301. The reversal of 11294394300 is 349349211.

11294394300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11294394299) and next prime (11294394301).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11294394301) 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 191 ways as a sum of consecutive naturals, for example, 21678040 + ... + 21678560.

It is an arithmetic number, because the mean of its divisors is an integer number (76522880).

Almost surely, 211294394300 is an apocalyptic number.

11294394300 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 11294394300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22038589440).

11294394300 is an abundant number, since it is smaller than the sum of its proper divisors (32782784580).

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

11294394300 is a wasteful number, since it uses less digits than its factorization.

11294394300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 11294394300 in words is "eleven billion, two hundred ninety-four million, three hundred ninety-four thousand, three hundred".