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2001424131 = 32731768637
BaseRepresentation
bin111011101001011…
…0100111100000011
312011111000212202200
41313102310330003
513044331033011
6530333244243
7100411552530
oct16722647403
95144025680
102001424131
1193782a633
1247a333683
1325b855645
1414db49d87
15baa94856
hex774b4f03

2001424131 has 12 divisors (see below), whose sum is σ = 3303938352. Its totient is φ = 1143670896.

The previous prime is 2001424129. The next prime is 2001424133. The reversal of 2001424131 is 1314241002.

It is an interprime number because it is at equal distance from previous prime (2001424129) and next prime (2001424133).

It is not a de Polignac number, because 2001424131 - 21 = 2001424129 is a prime.

It is a super-2 number, since 2×20014241312 = 8011397104298210322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001424133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15884256 + ... + 15884381.

It is an arithmetic number, because the mean of its divisors is an integer number (275328196).

Almost surely, 22001424131 is an apocalyptic number.

2001424131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2001424131 is a deficient number, since it is larger than the sum of its proper divisors (1302514221).

2001424131 is a wasteful number, since it uses less digits than its factorization.

2001424131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31768650 (or 31768647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2001424131 is about 44737.2789852043. The cubic root of 2001424131 is about 1260.2200277130.

Adding to 2001424131 its reverse (1314241002), we get a palindrome (3315665133).

The spelling of 2001424131 in words is "two billion, one million, four hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 31768637 95305911 222380459 285917733 667141377 2001424131