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2137685311 is a prime number
BaseRepresentation
bin111111101101010…
…0111110100111111
312111222102122222001
41333122213310333
513334221412221
6552042003131
7103655011456
oct17732476477
95458378861
102137685311
119a7738683
124b7aa64a7
13280b53c68
14163c99b9d
15c7a0d391
hex7f6a7d3f

2137685311 has 2 divisors, whose sum is σ = 2137685312. Its totient is φ = 2137685310.

The previous prime is 2137685293. The next prime is 2137685371. The reversal of 2137685311 is 1135867312.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2137685311 - 213 = 2137677119 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137685371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068842655 + 1068842656.

It is an arithmetic number, because the mean of its divisors is an integer number (1068842656).

Almost surely, 22137685311 is an apocalyptic number.

2137685311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137685311 is an equidigital number, since it uses as much as digits as its factorization.

2137685311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 2137685311 is about 46235.1090730843. The cubic root of 2137685311 is about 1288.1939574474.

The spelling of 2137685311 in words is "two billion, one hundred thirty-seven million, six hundred eighty-five thousand, three hundred eleven".