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203131233001 is a prime number
BaseRepresentation
bin1011110100101110010…
…0001010001011101001
3201102022120020210200001
42331023210022023221
511312003043424001
6233152303143001
720450531664124
oct2751344121351
9642276223601
10203131233001
1179169315974
12334502a4a61
1316202c61478
149b8dcc93bb
15543d2dc001
hex2f4b90a2e9

203131233001 has 2 divisors, whose sum is σ = 203131233002. Its totient is φ = 203131233000.

The previous prime is 203131232987. The next prime is 203131233061. The reversal of 203131233001 is 100332131302.

203131233001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193463624025 + 9667608976 = 439845^2 + 98324^2 .

It is a cyclic number.

It is not a de Polignac number, because 203131233001 - 231 = 200983749353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 203131233001.

It is not a weakly prime, because it can be changed into another prime (203131233061) 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 as a sum of consecutive naturals, namely, 101565616500 + 101565616501.

It is an arithmetic number, because the mean of its divisors is an integer number (101565616501).

Almost surely, 2203131233001 is an apocalyptic number.

It is an amenable number.

203131233001 is a deficient number, since it is larger than the sum of its proper divisors (1).

203131233001 is an equidigital number, since it uses as much as digits as its factorization.

203131233001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 203131233001 its reverse (100332131302), we get a palindrome (303463364303).

The spelling of 203131233001 in words is "two hundred three billion, one hundred thirty-one million, two hundred thirty-three thousand, one".