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2142031013 is a prime number
BaseRepresentation
bin111111110101100…
…1100110010100101
312112021121110010222
41333223030302211
513341324443023
6552315054125
7104036651243
oct17753146245
95467543128
102142031013
119aa136671
124b9441345
13281a15c95
141646ab793
15c80bacc8
hex7faccca5

2142031013 has 2 divisors, whose sum is σ = 2142031014. Its totient is φ = 2142031012.

The previous prime is 2142030959. The next prime is 2142031037. The reversal of 2142031013 is 3101302412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1749079684 + 392951329 = 41822^2 + 19823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2142031013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2142030982 and 2142031000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2142031513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071015506 + 1071015507.

It is an arithmetic number, because the mean of its divisors is an integer number (1071015507).

Almost surely, 22142031013 is an apocalyptic number.

It is an amenable number.

2142031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142031013 is an equidigital number, since it uses as much as digits as its factorization.

2142031013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2142031013 is about 46282.0809061131. The cubic root of 2142031013 is about 1289.0662900653.

Adding to 2142031013 its reverse (3101302412), we get a palindrome (5243333425).

The spelling of 2142031013 in words is "two billion, one hundred forty-two million, thirty-one thousand, thirteen".