Search a number
-
+
1011011000141 is a prime number
BaseRepresentation
bin11101011011001001111…
…00111001011101001101
310120122121002120012002002
432231210330321131031
5113031022304001031
62052241350242045
7133020536465162
oct16554474713515
93518532505062
101011011000141
1135a84939730a
12143b35656325
137445157503c
1436d0c97c069
151b473279ccb
hexeb64f3974d

1011011000141 has 2 divisors, whose sum is σ = 1011011000142. Its totient is φ = 1011011000140.

The previous prime is 1011011000123. The next prime is 1011011000147. The reversal of 1011011000141 is 1410001101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007925642025 + 3085358116 = 1003955^2 + 55546^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011011000141 is a prime.

It is a super-2 number, since 2×10110110001412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011011000147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505500070 + 505505500071.

It is an arithmetic number, because the mean of its divisors is an integer number (505505500071).

Almost surely, 21011011000141 is an apocalyptic number.

It is an amenable number.

1011011000141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011000141 is an equidigital number, since it uses as much as digits as its factorization.

1011011000141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011011000141 its reverse (1410001101101), we get a palindrome (2421012101242).

The spelling of 1011011000141 in words is "one trillion, eleven billion, eleven million, one hundred forty-one", and thus it is an aban number.