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2114302013 is a prime number
BaseRepresentation
bin111111000000101…
…1011000000111101
312110100102200002222
41332001123000331
513312230131023
6545444455125
7103252161545
oct17601330075
95410380088
102114302013
1199551743a
124b00aa4a5
132790578a5
14160b30325
15c593ecc8
hex7e05b03d

2114302013 has 2 divisors, whose sum is σ = 2114302014. Its totient is φ = 2114302012.

The previous prime is 2114301977. The next prime is 2114302031. The reversal of 2114302013 is 3102034112.

Together with next prime (2114302031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1469802244 + 644499769 = 38338^2 + 25387^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114302013 - 216 = 2114236477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2114301982 and 2114302000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114302033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057151006 + 1057151007.

It is an arithmetic number, because the mean of its divisors is an integer number (1057151007).

Almost surely, 22114302013 is an apocalyptic number.

It is an amenable number.

2114302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114302013 is an equidigital number, since it uses as much as digits as its factorization.

2114302013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2114302013 is about 45981.5399154922. The cubic root of 2114302013 is about 1283.4797108273.

Adding to 2114302013 its reverse (3102034112), we get a palindrome (5216336125).

The spelling of 2114302013 in words is "two billion, one hundred fourteen million, three hundred two thousand, thirteen".