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201233301000 = 23353172232103
BaseRepresentation
bin1011101101101001110…
…0000111111000001000
3201020102021221212102020
42323122130013320020
511244111211113000
6232240104004440
720352514556514
oct2733234077010
9636367855366
10201233301000
1178384a52526
1233000760720
1315c8c9a2c94
149a4dbdd144
15537b88bba0
hex2eda707e08

201233301000 has 192 divisors, whose sum is σ = 666955486080. Its totient is φ = 50505395200.

The previous prime is 201233300993. The next prime is 201233301001. The reversal of 201233301000 is 103332102.

201233301000 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 (15).

It is not an unprimeable number, because it can be changed into a prime (201233301001) 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, 750949 + ... + 983051.

It is an arithmetic number, because the mean of its divisors is an integer number (3473726490).

Almost surely, 2201233301000 is an apocalyptic number.

201233301000 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 201233301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333477743040).

201233301000 is an abundant number, since it is smaller than the sum of its proper divisors (465722185080).

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

201233301000 is a wasteful number, since it uses less digits than its factorization.

201233301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232161 (or 232130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 201233301000 its reverse (103332102), we get a palindrome (201336633102).

The spelling of 201233301000 in words is "two hundred one billion, two hundred thirty-three million, three hundred one thousand".