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214214000141 is a prime number
BaseRepresentation
bin1100011110000000100…
…1100011111000001101
3202110220221102201002002
43013200021203320031
512002202241001031
6242224125242045
721322264646441
oct3074011437015
9673827381062
10214214000141
1182936244959
1235623a03325
131727b07784b
14a521b82821
15588b279ccb
hex31e0263e0d

214214000141 has 2 divisors, whose sum is σ = 214214000142. Its totient is φ = 214214000140.

The previous prime is 214214000089. The next prime is 214214000153. The reversal of 214214000141 is 141000412412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190470272041 + 23743728100 = 436429^2 + 154090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214214000141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214214006141) 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 as a sum of consecutive naturals, namely, 107107000070 + 107107000071.

It is an arithmetic number, because the mean of its divisors is an integer number (107107000071).

Almost surely, 2214214000141 is an apocalyptic number.

It is an amenable number.

214214000141 is a deficient number, since it is larger than the sum of its proper divisors (1).

214214000141 is an equidigital number, since it uses as much as digits as its factorization.

214214000141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 214214000141 its reverse (141000412412), we get a palindrome (355214412553).

The spelling of 214214000141 in words is "two hundred fourteen billion, two hundred fourteen million, one hundred forty-one", and thus it is an aban number.