Search a number
-
+
10762909141 is a prime number
BaseRepresentation
bin10100000011000010…
…01111010111010101
31000210002022102201111
422001201033113111
5134020301043031
64535554255021
7530500134565
oct120141172725
930702272644
1010762909141
114623421a36
122104587471
131026a849ba
147415d4da5
1542ed5a1b1
hex28184f5d5

10762909141 has 2 divisors, whose sum is σ = 10762909142. Its totient is φ = 10762909140.

The previous prime is 10762909111. The next prime is 10762909153. The reversal of 10762909141 is 14190926701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5843990916 + 4918918225 = 76446^2 + 70135^2 .

It is a cyclic number.

It is not a de Polignac number, because 10762909141 - 27 = 10762909013 is a prime.

It is a super-3 number, since 3×107629091413 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10762909094 and 10762909103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10762909111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5381454570 + 5381454571.

It is an arithmetic number, because the mean of its divisors is an integer number (5381454571).

Almost surely, 210762909141 is an apocalyptic number.

It is an amenable number.

10762909141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10762909141 is an equidigital number, since it uses as much as digits as its factorization.

10762909141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 10762909141 in words is "ten billion, seven hundred sixty-two million, nine hundred nine thousand, one hundred forty-one".