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2142132193 is a prime number
BaseRepresentation
bin111111110101110…
…0101011111100001
312112021210120221101
41333223211133201
513341341212233
6552321154401
7104040552235
oct17753453741
95467716841
102142132193
119aa1a5693
124b948ba01
13281a50056
141646d65c5
15c80dac7d
hex7fae57e1

2142132193 has 2 divisors, whose sum is σ = 2142132194. Its totient is φ = 2142132192.

The previous prime is 2142132169. The next prime is 2142132211. The reversal of 2142132193 is 3912312412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2125947664 + 16184529 = 46108^2 + 4023^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142132193 - 225 = 2108577761 is a prime.

It is not a weakly prime, because it can be changed into another prime (2142132793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071066096 + 1071066097.

It is an arithmetic number, because the mean of its divisors is an integer number (1071066097).

Almost surely, 22142132193 is an apocalyptic number.

It is an amenable number.

2142132193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142132193 is an equidigital number, since it uses as much as digits as its factorization.

2142132193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 2142132193 is about 46283.1739728381. The cubic root of 2142132193 is about 1289.0865863282.

The spelling of 2142132193 in words is "two billion, one hundred forty-two million, one hundred thirty-two thousand, one hundred ninety-three".