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1007159161 is a prime number
BaseRepresentation
bin111100000010000…
…000011101111001
32121012010222122011
4330002000131321
54030313043121
6243534525521
733646466041
oct7402003571
92535128564
101007159161
11477573648
122413668a1
13130875988
1497a92721
155d6477e1
hex3c080779

1007159161 has 2 divisors, whose sum is σ = 1007159162. Its totient is φ = 1007159160.

The previous prime is 1007159143. The next prime is 1007159189. The reversal of 1007159161 is 1619517001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 506250000 + 500909161 = 22500^2 + 22381^2 .

It is an emirp because it is prime and its reverse (1619517001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1007159161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007159141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503579580 + 503579581.

It is an arithmetic number, because the mean of its divisors is an integer number (503579581).

Almost surely, 21007159161 is an apocalyptic number.

It is an amenable number.

1007159161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007159161 is an equidigital number, since it uses as much as digits as its factorization.

1007159161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 31.

The square root of 1007159161 is about 31735.7710005602. The cubic root of 1007159161 is about 1002.3807146997.

The spelling of 1007159161 in words is "one billion, seven million, one hundred fifty-nine thousand, one hundred sixty-one".