Search a number
-
+
1051140442777 is a prime number
BaseRepresentation
bin11110100101111001101…
…10100100101010011001
310201111011210012002111021
433102330312210222121
5114210213423132102
62122515351402441
7135641145225565
oct17227466445231
93644153162437
101051140442777
11375871416537
1214b874983421
13781783a9479
1438c384026a5
151c5212d0137
hexf4bcda4a99

1051140442777 has 2 divisors, whose sum is σ = 1051140442778. Its totient is φ = 1051140442776.

The previous prime is 1051140442739. The next prime is 1051140442783. The reversal of 1051140442777 is 7772440411501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1049438385241 + 1702057536 = 1024421^2 + 41256^2 .

It is an emirp because it is prime and its reverse (7772440411501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1051140442777 is a prime.

It is a super-3 number, since 3×10511404427773 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1051140442787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 525570221388 + 525570221389.

It is an arithmetic number, because the mean of its divisors is an integer number (525570221389).

Almost surely, 21051140442777 is an apocalyptic number.

It is an amenable number.

1051140442777 is a deficient number, since it is larger than the sum of its proper divisors (1).

1051140442777 is an equidigital number, since it uses as much as digits as its factorization.

1051140442777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 219520, while the sum is 43.

The spelling of 1051140442777 in words is "one trillion, fifty-one billion, one hundred forty million, four hundred forty-two thousand, seven hundred seventy-seven".