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212020292753 is a prime number
BaseRepresentation
bin1100010101110101100…
…1001110110010010001
3202021021001120211021022
43011131121032302101
511433204143332003
6241222322405225
721214026516203
oct3053531166221
9667231524238
10212020292753
1181a0aa23045
1235111200815
1316cbb73a439
14a3946a2773
1557ad8a2738
hex315d64ec91

212020292753 has 2 divisors, whose sum is σ = 212020292754. Its totient is φ = 212020292752.

The previous prime is 212020292747. The next prime is 212020292819. The reversal of 212020292753 is 357292020212.

212020292753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195237608449 + 16782684304 = 441857^2 + 129548^2 .

It is a cyclic number.

It is not a de Polignac number, because 212020292753 - 210 = 212020291729 is a prime.

It is not a weakly prime, because it can be changed into another prime (212020292713) 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, 106010146376 + 106010146377.

It is an arithmetic number, because the mean of its divisors is an integer number (106010146377).

Almost surely, 2212020292753 is an apocalyptic number.

It is an amenable number.

212020292753 is a deficient number, since it is larger than the sum of its proper divisors (1).

212020292753 is an equidigital number, since it uses as much as digits as its factorization.

212020292753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 212020292753 in words is "two hundred twelve billion, twenty million, two hundred ninety-two thousand, seven hundred fifty-three".