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21210311313 = 322938043349
BaseRepresentation
bin10011110000001110…
…111010101010010001
32000202011221110020200
4103300032322222101
5321414314430223
613424402325413
71350416446212
oct236016725221
960664843220
1021210311313
118aa4738904
12413b359869
13200036c589
141052d3b409
15842141a43
hex4f03baa91

21210311313 has 12 divisors (see below), whose sum is σ = 30741683700. Its totient is φ = 14091945696.

The previous prime is 21210311303. The next prime is 21210311357. The reversal of 21210311313 is 31311301212.

21210311313 is a `hidden beast` number, since 21 + 21 + 0 + 311 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14541465744 + 6668845569 = 120588^2 + 81663^2 .

It is not a de Polignac number, because 21210311313 - 221 = 21208214161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21210311303) 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, 4019038 + ... + 4024311.

It is an arithmetic number, because the mean of its divisors is an integer number (2561806975).

Almost surely, 221210311313 is an apocalyptic number.

It is an amenable number.

21210311313 is a deficient number, since it is larger than the sum of its proper divisors (9531372387).

21210311313 is a wasteful number, since it uses less digits than its factorization.

21210311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043648 (or 8043645 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21210311313 its reverse (31311301212), we get a palindrome (52521612525).

The spelling of 21210311313 in words is "twenty-one billion, two hundred ten million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 293 879 2637 8043349 24130047 72390141 2356701257 7070103771 21210311313