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30977129 is a prime number
BaseRepresentation
bin111011000101…
…0110001101001
32011021210122002
41312022301221
530412232004
63023540345
7524205221
oct166126151
964253562
1030977129
1116538637
12a45a6b5
136557981
144185081
152abd61e
hex1d8ac69

30977129 has 2 divisors, whose sum is σ = 30977130. Its totient is φ = 30977128.

The previous prime is 30977083. The next prime is 30977131. The reversal of 30977129 is 92177903.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30030400 + 946729 = 5480^2 + 973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30977129 is a prime.

It is a Sophie Germain prime.

Together with 30977131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30977092 and 30977101.

It is not a weakly prime, because it can be changed into another prime (30977189) 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, 15488564 + 15488565.

It is an arithmetic number, because the mean of its divisors is an integer number (15488565).

Almost surely, 230977129 is an apocalyptic number.

It is an amenable number.

30977129 is a deficient number, since it is larger than the sum of its proper divisors (1).

30977129 is an equidigital number, since it uses as much as digits as its factorization.

30977129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 30977129 is about 5565.7101074346. The cubic root of 30977129 is about 314.0607919134.

The spelling of 30977129 in words is "thirty million, nine hundred seventy-seven thousand, one hundred twenty-nine".