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2001331314 = 23412353897
BaseRepresentation
bin111011101001001…
…1110010001110010
312011110212011110000
41313102132101302
513044320100224
6530331250430
7100411015113
oct16722362162
95143764400
102001331314
11937776924
1247a2a9a16
1325b822318
1414db2420a
15baa770c9
hex7749e472

2001331314 has 20 divisors (see below), whose sum is σ = 4484464974. Its totient is φ = 667110384.

The previous prime is 2001331291. The next prime is 2001331331. The reversal of 2001331314 is 4131331002.

2001331314 is a `hidden beast` number, since 20 + 0 + 1 + 331 + 314 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1704286089 + 297045225 = 41283^2 + 17235^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 6176787 + ... + 6177110.

Almost surely, 22001331314 is an apocalyptic number.

2001331314 is an abundant number, since it is smaller than the sum of its proper divisors (2483133660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001331314 is a wasteful number, since it uses less digits than its factorization.

2001331314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353911 (or 12353902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2001331314 is about 44736.2416168368. The cubic root of 2001331314 is about 1260.2005463099.

Adding to 2001331314 its reverse (4131331002), we get a palindrome (6132662316).

The spelling of 2001331314 in words is "two billion, one million, three hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 12353897 24707794 37061691 74123382 111185073 222370146 333555219 667110438 1000665657 2001331314