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2001300320223 = 3223193263190471
BaseRepresentation
bin11101000111110110110…
…010110110111111011111
321002022201001121221222100
4131013312302312333133
5230242130340221343
64131215031220143
7264406042021101
oct35076662667737
97068631557870
102001300320223
117018239476a6
12283a47517653
1311694ca82019
146cc13455571
15370d22329d3
hex1d1f6cb6fdf

2001300320223 has 48 divisors (see below), whose sum is σ = 3043626753024. Its totient is φ = 1264745180160.

The previous prime is 2001300320207. The next prime is 2001300320237. The reversal of 2001300320223 is 3220230031002.

It is a happy number.

2001300320223 is a `hidden beast` number, since 20 + 0 + 1 + 300 + 320 + 2 + 23 = 666.

It is not a de Polignac number, because 2001300320223 - 24 = 2001300320207 is a prime.

It is a super-4 number, since 4×20013003202234 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001300320196 and 2001300320205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001300320023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10411878 + ... + 10602348.

It is an arithmetic number, because the mean of its divisors is an integer number (63408890688).

Almost surely, 22001300320223 is an apocalyptic number.

2001300320223 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2001300320223 is a deficient number, since it is larger than the sum of its proper divisors (1042326432801).

2001300320223 is a wasteful number, since it uses less digits than its factorization.

2001300320223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190956 (or 190953 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2001300320223 its reverse (3220230031002), we get a palindrome (5221530351225).

The spelling of 2001300320223 in words is "two trillion, one billion, three hundred million, three hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 9 23 69 193 207 263 579 789 1737 2367 4439 6049 13317 18147 39951 50759 54441 152277 190471 456831 571413 1167457 1714239 3502371 4380833 10507113 13142499 36760903 39427497 50093873 110282709 150281619 330848127 450844857 845500769 1152159079 2536502307 3456477237 7609506921 9668117489 10369431711 29004352467 87013057401 222366702247 667100106741 2001300320223