Search a number
-
+
10111709941 is a prime number
BaseRepresentation
bin10010110101011010…
…00111001011110101
3222002200222002100121
421122231013023311
5131202044204231
64351213011541
7505402054624
oct113255071365
928080862317
1010111709941
114319884383
121b62483bb1
13c51ba0c28
146bcd216bb
153e2ac7311
hex25ab472f5

10111709941 has 2 divisors, whose sum is σ = 10111709942. Its totient is φ = 10111709940.

The previous prime is 10111709899. The next prime is 10111709953. The reversal of 10111709941 is 14990711101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9194892100 + 916817841 = 95890^2 + 30279^2 .

It is an emirp because it is prime and its reverse (14990711101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111709941 - 213 = 10111701749 is a prime.

It is a super-3 number, since 3×101117099413 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111709897 and 10111709906.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111709441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055854970 + 5055854971.

It is an arithmetic number, because the mean of its divisors is an integer number (5055854971).

Almost surely, 210111709941 is an apocalyptic number.

It is an amenable number.

10111709941 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111709941 is an equidigital number, since it uses as much as digits as its factorization.

10111709941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 34.

The spelling of 10111709941 in words is "ten billion, one hundred eleven million, seven hundred nine thousand, nine hundred forty-one".