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204106232000 = 26531123313253
BaseRepresentation
bin1011111000010110101…
…1011111000011000000
3201111211111212212212002
42332011223133003000
511321002143411000
6233433132523132
720513641226606
oct2760553370300
9644744785762
10204106232000
1179619713070
12336829204a8
1316329c56b58
149c435a9876
155498bd08d5
hex2f85adf0c0

204106232000 has 448 divisors, whose sum is σ = 594139373568. Its totient is φ = 68682240000.

The previous prime is 204106231991. The next prime is 204106232027. The reversal of 204106232000 is 232601402.

204106232000 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 (20).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 62742374 + ... + 62745626.

Almost surely, 2204106232000 is an apocalyptic number.

204106232000 is a gapful number since it is divisible by the number (20) 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 204106232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297069686784).

204106232000 is an abundant number, since it is smaller than the sum of its proper divisors (390033141568).

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

204106232000 is a wasteful number, since it uses less digits than its factorization.

204106232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 204106232000 its reverse (232601402), we get a palindrome (204338833402).

The spelling of 204106232000 in words is "two hundred four billion, one hundred six million, two hundred thirty-two thousand".