Search a number
-
+
11000100100109 is a prime number
BaseRepresentation
bin1010000000010010100100…
…0011110001100000001101
31102221121011220000021211212
42200010221003301200031
52420211201111200414
635221213133024205
72213505510053351
oct240045103614015
942847156007755
1011000100100109
11356113080967a
121297a87325065
1361a3c70a12a3
142a059c991461
1514121037d83e
hexa01290f180d

11000100100109 has 2 divisors, whose sum is σ = 11000100100110. Its totient is φ = 11000100100108.

The previous prime is 11000100100097. The next prime is 11000100100133. The reversal of 11000100100109 is 90100100100011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9051222675625 + 1948877424484 = 3008525^2 + 1396022^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000100100109 - 28 = 11000100099853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000100100093 and 11000100100102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000100102109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500050050054 + 5500050050055.

It is an arithmetic number, because the mean of its divisors is an integer number (5500050050055).

Almost surely, 211000100100109 is an apocalyptic number.

It is an amenable number.

11000100100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000100100109 is an equidigital number, since it uses as much as digits as its factorization.

11000100100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 11000100100109 in words is "eleven trillion, one hundred million, one hundred thousand, one hundred nine".