Search a number
-
+
1010010010981 is a prime number
BaseRepresentation
bin11101011001010010100…
…10011011010101100101
310120120000100000200002111
432230221102123111211
5113022000030322411
62051554151441021
7132653663304346
oct16545122332545
93516010020074
101010010010981
1135a385358344
121438b6386171
137432207c86a
1436c55a540cd
151b415450721
hexeb2949b565

1010010010981 has 2 divisors, whose sum is σ = 1010010010982. Its totient is φ = 1010010010980.

The previous prime is 1010010010969. The next prime is 1010010010987. The reversal of 1010010010981 is 1890100100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753842434081 + 256167576900 = 868241^2 + 506130^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010010981 - 229 = 1009473140069 is a prime.

It is a super-2 number, since 2×10100100109812 (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 (1010010010987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005005490 + 505005005491.

It is an arithmetic number, because the mean of its divisors is an integer number (505005005491).

Almost surely, 21010010010981 is an apocalyptic number.

It is an amenable number.

1010010010981 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010010981 is an equidigital number, since it uses as much as digits as its factorization.

1010010010981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 1010010010981 in words is "one trillion, ten billion, ten million, ten thousand, nine hundred eighty-one".