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203112101001 = 31983101425071
BaseRepresentation
bin1011110100101001101…
…1001011010010001001
3201102021020020210111110
42331022123023102021
511311433144213001
6233150341120533
720450210241525
oct2751233132211
9642236223443
10203112101001
11791595387a7
12334459b9149
13161cbcc3164
149b8b548d85
15543b7ad3d6
hex2f4a6cb489

203112101001 has 32 divisors (see below), whose sum is σ = 291361351680. Its totient is φ = 125480664000.

The previous prime is 203112100993. The next prime is 203112101009. The reversal of 203112101001 is 100101211302.

203112101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203112100993) and next prime (203112101009).

It is not a de Polignac number, because 203112101001 - 23 = 203112100993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (203112101009) 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 31 ways as a sum of consecutive naturals, for example, 265296 + ... + 690366.

It is an arithmetic number, because the mean of its divisors is an integer number (9105042240).

Almost surely, 2203112101001 is an apocalyptic number.

It is an amenable number.

203112101001 is a deficient number, since it is larger than the sum of its proper divisors (88249250679).

203112101001 is a wasteful number, since it uses less digits than its factorization.

203112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425277.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 203112101001 its reverse (100101211302), we get a palindrome (303213312303).

The spelling of 203112101001 in words is "two hundred three billion, one hundred twelve million, one hundred one thousand, one".

Divisors: 1 3 19 57 83 101 249 303 1577 1919 4731 5757 8383 25149 159277 425071 477831 1275213 8076349 24229047 35280893 42932171 105842679 128796513 670336967 815711249 2011010901 2447133747 3563370193 10690110579 67704033667 203112101001