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10220311289 is a prime number
BaseRepresentation
bin10011000010010110…
…11001001011111001
3222101021022121101202
421201023121023321
5131412344430124
64410052423545
7511161132626
oct114113311371
928337277352
1010220311289
114375110161
121b92917bb5
13c6b536796
146cd51134d
153ec3ca5ae
hex2612d92f9

10220311289 has 2 divisors, whose sum is σ = 10220311290. Its totient is φ = 10220311288.

The previous prime is 10220311279. The next prime is 10220311319. The reversal of 10220311289 is 98211302201.

10220311289 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., 8042502400 + 2177808889 = 89680^2 + 46667^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220311289 - 212 = 10220307193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220311249) 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, 5110155644 + 5110155645.

It is an arithmetic number, because the mean of its divisors is an integer number (5110155645).

Almost surely, 210220311289 is an apocalyptic number.

It is an amenable number.

10220311289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220311289 is an equidigital number, since it uses as much as digits as its factorization.

10220311289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10220311289 in words is "ten billion, two hundred twenty million, three hundred eleven thousand, two hundred eighty-nine".