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1000109977 is a prime number
BaseRepresentation
bin111011100111000…
…111011110011001
32120200212211222021
4323213013132121
54022012004402
6243123454441
733532536346
oct7347073631
92520784867
101000109977
11473599479
1223ab27421
1312c278269
1496b797cd
155cc03d37
hex3b9c7799

1000109977 has 2 divisors, whose sum is σ = 1000109978. Its totient is φ = 1000109976.

The previous prime is 1000109959. The next prime is 1000109987. The reversal of 1000109977 is 7799010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796876441 + 203233536 = 28229^2 + 14256^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000109977 - 27 = 1000109849 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000109917) 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, 500054988 + 500054989.

It is an arithmetic number, because the mean of its divisors is an integer number (500054989).

Almost surely, 21000109977 is an apocalyptic number.

It is an amenable number.

1000109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000109977 is an equidigital number, since it uses as much as digits as its factorization.

1000109977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 34.

The square root of 1000109977 is about 31624.5154429281. The cubic root of 1000109977 is about 1000.0366576562.

Adding to 1000109977 its reverse (7799010001), we get a palindrome (8799119978).

The spelling of 1000109977 in words is "one billion, one hundred nine thousand, nine hundred seventy-seven".