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21142120313 is a prime number
BaseRepresentation
bin10011101100001010…
…110010011101111001
32000120102121222210002
4103230022302131321
5321244340322223
613413525002345
71345631025506
oct235412623571
960512558702
1021142120313
118a6a1a2a06
1241205533b5
131cbc1b5282
141047c6a4ad
1583b171e28
hex4ec2b2779

21142120313 has 2 divisors, whose sum is σ = 21142120314. Its totient is φ = 21142120312.

The previous prime is 21142120243. The next prime is 21142120327. The reversal of 21142120313 is 31302124112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15127032064 + 6015088249 = 122992^2 + 77557^2 .

It is a cyclic number.

It is not a de Polignac number, because 21142120313 - 214 = 21142103929 is a prime.

It is not a weakly prime, because it can be changed into another prime (21142120913) 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, 10571060156 + 10571060157.

It is an arithmetic number, because the mean of its divisors is an integer number (10571060157).

Almost surely, 221142120313 is an apocalyptic number.

It is an amenable number.

21142120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21142120313 is an equidigital number, since it uses as much as digits as its factorization.

21142120313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21142120313 its reverse (31302124112), we get a palindrome (52444244425).

The spelling of 21142120313 in words is "twenty-one billion, one hundred forty-two million, one hundred twenty thousand, three hundred thirteen".