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211770655153 is a prime number
BaseRepresentation
bin1100010100111010000…
…0111100000110110001
3202020121122211220212021
43011032200330012301
511432201241431103
6241141444031441
721204605603611
oct3051640740661
9666548756767
10211770655153
11818a2017682
1235061692581
1316c7bac3995
14a36d47ca41
1557969e0bbd
hex314e83c1b1

211770655153 has 2 divisors, whose sum is σ = 211770655154. Its totient is φ = 211770655152.

The previous prime is 211770655139. The next prime is 211770655163. The reversal of 211770655153 is 351556077112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121862431744 + 89908223409 = 349088^2 + 299847^2 .

It is a cyclic number.

It is not a de Polignac number, because 211770655153 - 213 = 211770646961 is a prime.

It is not a weakly prime, because it can be changed into another prime (211770655133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105885327576 + 105885327577.

It is an arithmetic number, because the mean of its divisors is an integer number (105885327577).

Almost surely, 2211770655153 is an apocalyptic number.

It is an amenable number.

211770655153 is a deficient number, since it is larger than the sum of its proper divisors (1).

211770655153 is an equidigital number, since it uses as much as digits as its factorization.

211770655153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 220500, while the sum is 43.

The spelling of 211770655153 in words is "two hundred eleven billion, seven hundred seventy million, six hundred fifty-five thousand, one hundred fifty-three".