Search a number
-
+
100110011889929 is a prime number
BaseRepresentation
bin10110110000110010101101…
…101100100111100100001001
3111010110102102212002120120112
4112300302231230213210021
5101110200301020434204
6552525523215204105
730041465263603226
oct2660625554474411
9433412385076515
10100110011889929
1129997465938378
12b289ba8516635
1343b2444c469c2
141aa14c980c94d
15b8915796526e
hex5b0cadb27909

100110011889929 has 2 divisors, whose sum is σ = 100110011889930. Its totient is φ = 100110011889928.

The previous prime is 100110011889917. The next prime is 100110011889947. The reversal of 100110011889929 is 929988110011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97974462222025 + 2135549667904 = 9898205^2 + 1461352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100110011889929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110011889029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005944964 + 50055005944965.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005944965).

Almost surely, 2100110011889929 is an apocalyptic number.

It is an amenable number.

100110011889929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011889929 is an equidigital number, since it uses as much as digits as its factorization.

100110011889929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 50.

The spelling of 100110011889929 in words is "one hundred trillion, one hundred ten billion, eleven million, eight hundred eighty-nine thousand, nine hundred twenty-nine".