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1029401982977 is a prime number
BaseRepresentation
bin11101111101011010010…
…00111011100000000001
310122102001210102220201112
432332231020323200001
5113331203401423402
62104522321013105
7134241353325014
oct16765510734001
93572053386645
101029401982977
11367626645985
12147608784195
13760c27aa7c4
1437b752a337b
151bb9cb14e52
hexefad23b801

1029401982977 has 2 divisors, whose sum is σ = 1029401982978. Its totient is φ = 1029401982976.

The previous prime is 1029401982953. The next prime is 1029401983013. The reversal of 1029401982977 is 7792891049201.

1029401982977 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., 661255206976 + 368146776001 = 813176^2 + 606751^2 .

It is a cyclic number.

It is not a de Polignac number, because 1029401982977 - 230 = 1028328241153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1029401982937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514700991488 + 514700991489.

It is an arithmetic number, because the mean of its divisors is an integer number (514700991489).

Almost surely, 21029401982977 is an apocalyptic number.

It is an amenable number.

1029401982977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029401982977 is an equidigital number, since it uses as much as digits as its factorization.

1029401982977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4572288, while the sum is 59.

The spelling of 1029401982977 in words is "one trillion, twenty-nine billion, four hundred one million, nine hundred eighty-two thousand, nine hundred seventy-seven".