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2000100233232 = 2434171911342283
BaseRepresentation
bin11101000110101111010…
…000111001000000010000
321002012121102110020010000
4131012233100321000100
5230232201124430412
64130500001210000
7264334230321153
oct35065720710020
97065542406100
102000100233232
11701268491572
12283771630900
131167bb25a08a
146cb3bd01c9a
1537061bcb4dc
hex1d1af439010

2000100233232 has 400 divisors, whose sum is σ = 6509242935360. Its totient is φ = 589182418944.

The previous prime is 2000100233231. The next prime is 2000100233239. The reversal of 2000100233232 is 2323320010002.

It is a happy number.

2000100233232 is a `hidden beast` number, since 200 + 0 + 1 + 0 + 0 + 233 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000100233231) 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 79 ways as a sum of consecutive naturals, for example, 47281563 + ... + 47323845.

Almost surely, 22000100233232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000100233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254621467680).

2000100233232 is an abundant number, since it is smaller than the sum of its proper divisors (4509142702128).

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

2000100233232 is a wasteful number, since it uses less digits than its factorization.

2000100233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42452 (or 42437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2000100233232 its reverse (2323320010002), we get a palindrome (4323420243234).

The spelling of 2000100233232 in words is "two trillion, one hundred million, two hundred thirty-three thousand, two hundred thirty-two".