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2142314101 is a prime number
BaseRepresentation
bin111111110110001…
…0001111001110101
312112022010211110201
41333230101321311
513341413022401
6552325120501
7104042240464
oct17754217165
95468124421
102142314101
119aa30a324
124b9559131
13281ab4aa5
141647429db
15c8124b01
hex7fb11e75

2142314101 has 2 divisors, whose sum is σ = 2142314102. Its totient is φ = 2142314100.

The previous prime is 2142314099. The next prime is 2142314261. The reversal of 2142314101 is 1014132412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1451991025 + 690323076 = 38105^2 + 26274^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142314101 - 21 = 2142314099 is a prime.

Together with 2142314099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2142314701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071157050 + 1071157051.

It is an arithmetic number, because the mean of its divisors is an integer number (1071157051).

Almost surely, 22142314101 is an apocalyptic number.

It is an amenable number.

2142314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142314101 is an equidigital number, since it uses as much as digits as its factorization.

2142314101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2142314101 is about 46285.1390945301. The cubic root of 2142314101 is about 1289.1230746654.

Adding to 2142314101 its reverse (1014132412), we get a palindrome (3156446513).

The spelling of 2142314101 in words is "two billion, one hundred forty-two million, three hundred fourteen thousand, one hundred one".