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1054412000077 is a prime number
BaseRepresentation
bin11110101011111111101…
…10100100101101001101
310201210121210012102102011
433111333312210231031
5114233413433000302
62124220140301221
7136115212056532
oct17257766445515
93653553172364
101054412000077
113771a00a39a7
12150428541811
137857a1105a7
1439068ad6d89
151c6636155d7
hexf57fda4b4d

1054412000077 has 2 divisors, whose sum is σ = 1054412000078. Its totient is φ = 1054412000076.

The previous prime is 1054412000041. The next prime is 1054412000087. The reversal of 1054412000077 is 7700002144501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 849873796996 + 204538203081 = 921886^2 + 452259^2 .

It is an emirp because it is prime and its reverse (7700002144501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1054412000077 is a prime.

It is a super-3 number, since 3×10544120000773 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1054412000087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527206000038 + 527206000039.

It is an arithmetic number, because the mean of its divisors is an integer number (527206000039).

Almost surely, 21054412000077 is an apocalyptic number.

It is an amenable number.

1054412000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1054412000077 is an equidigital number, since it uses as much as digits as its factorization.

1054412000077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7840, while the sum is 31.

Adding to 1054412000077 its reverse (7700002144501), we get a palindrome (8754414144578).

The spelling of 1054412000077 in words is "one trillion, fifty-four billion, four hundred twelve million, seventy-seven", and thus it is an aban number.