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214289137753 is a prime number
BaseRepresentation
bin1100011110010010100…
…0001100000001011001
3202111010011211002111121
43013210220030001121
512002331004402003
6242235411525241
721324166421515
oct3074450140131
9674104732447
10214289137753
11829746a4959
1235644bb9821
13172907c4982
14a52bb41145
155892b6ccbd
hex31e4a0c059

214289137753 has 2 divisors, whose sum is σ = 214289137754. Its totient is φ = 214289137752.

The previous prime is 214289137739. The next prime is 214289137771. The reversal of 214289137753 is 357731982412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212067618064 + 2221519689 = 460508^2 + 47133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214289137753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214289137753.

It is not a weakly prime, because it can be changed into another prime (214289137703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107144568876 + 107144568877.

It is an arithmetic number, because the mean of its divisors is an integer number (107144568877).

Almost surely, 2214289137753 is an apocalyptic number.

It is an amenable number.

214289137753 is a deficient number, since it is larger than the sum of its proper divisors (1).

214289137753 is an equidigital number, since it uses as much as digits as its factorization.

214289137753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2540160, while the sum is 52.

The spelling of 214289137753 in words is "two hundred fourteen billion, two hundred eighty-nine million, one hundred thirty-seven thousand, seven hundred fifty-three".