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11204277000 = 233537599043
BaseRepresentation
bin10100110111101001…
…11011001100001000
31001220211211020121020
422123310323030020
5140421243331000
65051442312440
7544436532420
oct123364731410
931824736536
1011204277000
11482a582164
122208358720
13109734b607
14784087480
15458990ba0
hex29bd3b308

11204277000 has 256 divisors, whose sum is σ = 40632883200. Its totient is φ = 2517292800.

The previous prime is 11204276981. The next prime is 11204277001. The reversal of 11204277000 is 77240211.

11204277000 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 (24).

It is not an unprimeable number, because it can be changed into a prime (11204277001) 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 63 ways as a sum of consecutive naturals, for example, 1234479 + ... + 1243521.

It is an arithmetic number, because the mean of its divisors is an integer number (158722200).

Almost surely, 211204277000 is an apocalyptic number.

11204277000 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 11204277000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316441600).

11204277000 is an abundant number, since it is smaller than the sum of its proper divisors (29428606200).

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

11204277000 is a wasteful number, since it uses less digits than its factorization.

11204277000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The spelling of 11204277000 in words is "eleven billion, two hundred four million, two hundred seventy-seven thousand".