Search a number
-
+
100110011110049 is a prime number
BaseRepresentation
bin10110110000110010101101…
…101001101001001010100001
3111010110102102210121221210002
4112300302231221221022201
5101110200300321010144
6552525523150345345
730041465254144433
oct2660625551511241
9433412383557702
10100110011110049
1129997465455446
12b289ba81bb255
1343b2444a32a35
141aa14c9688653
15b8915785e14e
hex5b0cada692a1

100110011110049 has 2 divisors, whose sum is σ = 100110011110050. Its totient is φ = 100110011110048.

The previous prime is 100110011109949. The next prime is 100110011110121. The reversal of 100110011110049 is 940011110011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95325541710400 + 4784469399649 = 9763480^2 + 2187343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100110011110049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110011110049.

It is not a weakly prime, because it can be changed into another prime (100110011110649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005555024 + 50055005555025.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005555025).

Almost surely, 2100110011110049 is an apocalyptic number.

It is an amenable number.

100110011110049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011110049 is an equidigital number, since it uses as much as digits as its factorization.

100110011110049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 100110011110049 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred ten thousand, forty-nine".