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20312233023213 = 3228111801680597
BaseRepresentation
bin1001001111001010011110…
…11011110001011011101101
32122220211102102222111111200
410213211033123301123231
510130243423123220323
6111111151103240113
74164340032645045
oct447451733613355
978824372874450
1020312233023213
11652140800377a
1223407918a9039
13b44587624501
1450318dd18725
1525357b494443
hex12794f6f16ed

20312233023213 has 24 divisors (see below), whose sum is σ = 29446842906936. Its totient is φ = 13492135104000.

The previous prime is 20312233023197. The next prime is 20312233023227. The reversal of 20312233023213 is 31232033221302.

20312233023213 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 2 + 330 + 2 + 321 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512064754569 + 19800168268644 = 715587^2 + 4449738^2 .

It is not a de Polignac number, because 20312233023213 - 24 = 20312233023197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312233023283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29504431 + ... + 30185027.

It is an arithmetic number, because the mean of its divisors is an integer number (1226951787789).

Almost surely, 220312233023213 is an apocalyptic number.

It is an amenable number.

20312233023213 is a deficient number, since it is larger than the sum of its proper divisors (9134609883723).

20312233023213 is a wasteful number, since it uses less digits than its factorization.

20312233023213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692685 (or 692682 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20312233023213 its reverse (31232033221302), we get a palindrome (51544266244515).

The spelling of 20312233023213 in words is "twenty trillion, three hundred twelve billion, two hundred thirty-three million, twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 281 843 2529 11801 35403 106209 680597 2041791 3316081 6125373 9948243 29844729 191247757 573743271 1721229813 8031725197 24095175591 72285526773 2256914780357 6770744341071 20312233023213