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1013378161 is a prime number
BaseRepresentation
bin111100011001101…
…110110001110001
32121121211221111111
4330121232301301
54033411100121
6244320113321
734053400165
oct7431566161
92547757444
101013378161
11480031014
12243465841
13131c42563
1498830ca5
155de752e1
hex3c66ec71

1013378161 has 2 divisors, whose sum is σ = 1013378162. Its totient is φ = 1013378160.

The previous prime is 1013378131. The next prime is 1013378221. The reversal of 1013378161 is 1618733101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 982509025 + 30869136 = 31345^2 + 5556^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013378161 - 213 = 1013369969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013378111) 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, 506689080 + 506689081.

It is an arithmetic number, because the mean of its divisors is an integer number (506689081).

Almost surely, 21013378161 is an apocalyptic number.

It is an amenable number.

1013378161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013378161 is an equidigital number, since it uses as much as digits as its factorization.

1013378161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1013378161 is about 31833.6011315088. The cubic root of 1013378161 is about 1004.4396473621.

The spelling of 1013378161 in words is "one billion, thirteen million, three hundred seventy-eight thousand, one hundred sixty-one".