Search a number
-
+
1100100041 is a prime number
BaseRepresentation
bin100000110010010…
…0011000111001001
32211200000212112222
41001210203013021
54223111200131
6301054543425
736155460515
oct10144430711
92750025488
101100100041
11514a83497
12268507b75
13146bb7391
14a6167145
15668a587b
hex419231c9

1100100041 has 2 divisors, whose sum is σ = 1100100042. Its totient is φ = 1100100040.

The previous prime is 1100099993. The next prime is 1100100061. The reversal of 1100100041 is 1400010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1067655625 + 32444416 = 32675^2 + 5696^2 .

It is an emirp because it is prime and its reverse (1400010011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100100041 - 26 = 1100099977 is a prime.

It is a super-3 number, since 3×11001000413 (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1100100061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050020 + 550050021.

It is an arithmetic number, because the mean of its divisors is an integer number (550050021).

Almost surely, 21100100041 is an apocalyptic number.

It is an amenable number.

1100100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100100041 is an equidigital number, since it uses as much as digits as its factorization.

1100100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1100100041 is about 33167.7560440859. The cubic root of 1100100041 is about 1032.3114085486.

Adding to 1100100041 its reverse (1400010011), we get a palindrome (2500110052).

The spelling of 1100100041 in words is "one billion, one hundred million, one hundred thousand, forty-one".