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200334210032 = 2411172931711049
BaseRepresentation
bin1011101010010011011…
…0010111001111110000
3201011002122011022110202
42322210312113033300
511240241024210112
6232010545214332
720321316455165
oct2724466271760
9634078138422
10200334210032
1177a63491140
12329ab6313a8
1315b786372a8
1499a663c06c
15532798e6c2
hex2ea4d973f0

200334210032 has 320 divisors, whose sum is σ = 485968896000. Its totient is φ = 78876672000.

The previous prime is 200334210019. The next prime is 200334210053. The reversal of 200334210032 is 230012433002.

200334210032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200334209986 and 200334210013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190975844 + ... + 190976892.

It is an arithmetic number, because the mean of its divisors is an integer number (1518652800).

Almost surely, 2200334210032 is an apocalyptic number.

200334210032 is a gapful number since it is divisible by the number (22) 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 200334210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448000).

200334210032 is an abundant number, since it is smaller than the sum of its proper divisors (285634685968).

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

200334210032 is a wasteful number, since it uses less digits than its factorization.

200334210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 200334210032 its reverse (230012433002), we get a palindrome (430346643034).

The spelling of 200334210032 in words is "two hundred billion, three hundred thirty-four million, two hundred ten thousand, thirty-two".