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1029354820957 is a prime number
BaseRepresentation
bin11101111101010100101…
…01000001010101011101
310122101221111200211121001
432332222111001111131
5113331104313232312
62104513514110301
7134240241420301
oct16765225012535
93571844624531
101029354820957
11367601a63401
121475b4a1b391
13760b5aa7098
1437b6cd07d01
151bb988eb057
hexefaa54155d

1029354820957 has 2 divisors, whose sum is σ = 1029354820958. Its totient is φ = 1029354820956.

The previous prime is 1029354820927. The next prime is 1029354820961. The reversal of 1029354820957 is 7590284539201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 720225492921 + 309129328036 = 848661^2 + 555994^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1029354820957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1029354820898 and 1029354820907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1029354820927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514677410478 + 514677410479.

It is an arithmetic number, because the mean of its divisors is an integer number (514677410479).

Almost surely, 21029354820957 is an apocalyptic number.

It is an amenable number.

1029354820957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029354820957 is an equidigital number, since it uses as much as digits as its factorization.

1029354820957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 1029354820957 in words is "one trillion, twenty-nine billion, three hundred fifty-four million, eight hundred twenty thousand, nine hundred fifty-seven".