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2003312031 = 37213627973
BaseRepresentation
bin111011101101000…
…0001110110011111
312011121120210110220
41313122001312133
513100321441111
6530441532423
7100433604600
oct16732016637
95147523426
102003312031
119388a9a86
1247aaa4113
1325c066a46
141500bbda7
15bad18e06
hex77681d9f

2003312031 has 12 divisors (see below), whose sum is σ = 3107178072. Its totient is φ = 1144749648.

The previous prime is 2003312027. The next prime is 2003312071. The reversal of 2003312031 is 1302133002.

It is not a de Polignac number, because 2003312031 - 22 = 2003312027 is a prime.

It is a super-2 number, since 2×20033120312 = 8026518187098689922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2003312031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003312021) 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 11 ways as a sum of consecutive naturals, for example, 6813840 + ... + 6814133.

It is an arithmetic number, because the mean of its divisors is an integer number (258931506).

Almost surely, 22003312031 is an apocalyptic number.

2003312031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2003312031 is a deficient number, since it is larger than the sum of its proper divisors (1103866041).

2003312031 is a wasteful number, since it uses less digits than its factorization.

2003312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13627990 (or 13627983 counting only the distinct ones).

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

The square root of 2003312031 is about 44758.3738645630. The cubic root of 2003312031 is about 1260.6161492666.

Adding to 2003312031 its reverse (1302133002), we get a palindrome (3305445033).

The spelling of 2003312031 in words is "two billion, three million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 7 21 49 147 13627973 40883919 95395811 286187433 667770677 2003312031