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203131300203 = 33132361341047
BaseRepresentation
bin1011110100101110010…
…0011010100101101011
3201102022120101012212000
42331023210122211223
511312003103101303
6233152304422043
720450532364056
oct2751344324553
9642276335760
10203131300203
1179169361407
1233450317923
1316202c85c30
149b8dd05a9d
15543d301da3
hex2f4b91a96b

203131300203 has 64 divisors (see below), whose sum is σ = 338734663680. Its totient is φ = 119370962304.

The previous prime is 203131300201. The next prime is 203131300241. The reversal of 203131300203 is 302003131302.

203131300203 is a `hidden beast` number, since 20 + 313 + 130 + 0 + 203 = 666.

It is not a de Polignac number, because 203131300203 - 21 = 203131300201 is a prime.

It is a super-2 number, since 2×2031313002032 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203131300201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4928226 + ... + 4969272.

It is an arithmetic number, because the mean of its divisors is an integer number (5292729120).

Almost surely, 2203131300203 is an apocalyptic number.

203131300203 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

203131300203 is a deficient number, since it is larger than the sum of its proper divisors (135603363477).

203131300203 is a wasteful number, since it uses less digits than its factorization.

203131300203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41705 (or 41699 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 203131300203 its reverse (302003131302), we get a palindrome (505134431505).

The spelling of 203131300203 in words is "two hundred three billion, one hundred thirty-one million, three hundred thousand, two hundred three".

Divisors: 1 3 9 13 23 27 39 69 117 207 299 351 613 621 897 1839 2691 5517 7969 8073 14099 16551 23907 41047 42297 71721 123141 126891 183287 215163 369423 380673 533611 549861 944081 1108269 1600833 1649583 2832243 4802499 4948749 8496729 12273053 14407497 25161811 25490187 36819159 75485433 110457477 226456299 327103543 331372431 578721653 679368897 981310629 1736164959 2943931887 5208494877 7523381489 8831795661 15625484631 22570144467 67710433401 203131300203