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11330123000 = 2353721072161
BaseRepresentation
bin10101000110101001…
…11111010011111000
31002020121121212212012
422203110333103320
5141201002414000
65112135505052
7550525312400
oct124324772370
932217555765
1011330123000
114894617119
122242528188
1310b74413c1
14796a85800
15464a4d735
hex2a353f4f8

11330123000 has 192 divisors, whose sum is σ = 31143696480. Its totient is φ = 3846528000.

The previous prime is 11330122931. The next prime is 11330123003. The reversal of 11330123000 is 32103311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330123003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5241920 + ... + 5244080.

Almost surely, 211330123000 is an apocalyptic number.

11330123000 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 11330123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571848240).

11330123000 is an abundant number, since it is smaller than the sum of its proper divisors (19813573480).

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

11330123000 is a wasteful number, since it uses less digits than its factorization.

11330123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11330123000 its reverse (32103311), we get a palindrome (11362226311).

The spelling of 11330123000 in words is "eleven billion, three hundred thirty million, one hundred twenty-three thousand".