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123281116200 = 23325211219313
BaseRepresentation
bin111001011010000100…
…0001000110000101000
3102210012200011120202200
41302310020020300220
54004434431204300
6132345022100200
711623010124564
oct1626410106050
9383180146680
10123281116200
1148312a81300
121ba8671a660
13b818bb7348
145d770086a4
153318078200
hex1cb4208c28

123281116200 has 864 divisors, whose sum is σ = 494997484800. Its totient is φ = 27400032000.

The previous prime is 123281116193. The next prime is 123281116207. The reversal of 123281116200 is 2611182321.

123281116200 is a `hidden beast` number, since 1 + 2 + 3 + 28 + 1 + 11 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123281116193) and next prime (123281116207).

It is a super-2 number, since 2×1232811162002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123281116207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3976810185 + ... + 3976810215.

Almost surely, 2123281116200 is an apocalyptic number.

123281116200 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 123281116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247498742400).

123281116200 is an abundant number, since it is smaller than the sum of its proper divisors (371716368600).

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

123281116200 is a wasteful number, since it uses less digits than its factorization.

123281116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 123281116200 its reverse (2611182321), we get a palindrome (125892298521).

The spelling of 123281116200 in words is "one hundred twenty-three billion, two hundred eighty-one million, one hundred sixteen thousand, two hundred".