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212020313129 is a prime number
BaseRepresentation
bin1100010101110101100…
…1010011110000101001
3202021021001121212012222
43011131121103300221
511433204200010004
6241222323043425
721214026632462
oct3053531236051
9667231555188
10212020313129
1181a0aa37389
1235111210575
1316cbb7467b1
14a3946a9d69
1557ad8a87be
hex315d653c29

212020313129 has 2 divisors, whose sum is σ = 212020313130. Its totient is φ = 212020313128.

The previous prime is 212020313107. The next prime is 212020313137. The reversal of 212020313129 is 921313020212.

212020313129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132024675904 + 79995637225 = 363352^2 + 282835^2 .

It is a cyclic number.

It is not a de Polignac number, because 212020313129 - 28 = 212020312873 is a prime.

It is a super-2 number, since 2×2120203131292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212020313098 and 212020313107.

It is not a weakly prime, because it can be changed into another prime (212020313189) 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, 106010156564 + 106010156565.

It is an arithmetic number, because the mean of its divisors is an integer number (106010156565).

Almost surely, 2212020313129 is an apocalyptic number.

It is an amenable number.

212020313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212020313129 is an equidigital number, since it uses as much as digits as its factorization.

212020313129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 212020313129 in words is "two hundred twelve billion, twenty million, three hundred thirteen thousand, one hundred twenty-nine".