Search a number
-
+
1100107973 is a prime number
BaseRepresentation
bin100000110010010…
…0101000011000101
32211200001021102202
41001210211003011
54223111423343
6301055044245
736155522606
oct10144450305
92750037382
101100107973
11514a89448
12268510685
13146bbab83
14a6169dad
15668a7db8
hex419250c5

1100107973 has 2 divisors, whose sum is σ = 1100107974. Its totient is φ = 1100107972.

The previous prime is 1100107937. The next prime is 1100108003. The reversal of 1100107973 is 3797010011.

Together with previous prime (1100107937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1089132004 + 10975969 = 33002^2 + 3313^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100107973 - 210 = 1100106949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100107573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550053986 + 550053987.

It is an arithmetic number, because the mean of its divisors is an integer number (550053987).

Almost surely, 21100107973 is an apocalyptic number.

It is an amenable number.

1100107973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100107973 is an equidigital number, since it uses as much as digits as its factorization.

1100107973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 29.

The square root of 1100107973 is about 33167.8756178324. The cubic root of 1100107973 is about 1032.3138896183.

Adding to 1100107973 its reverse (3797010011), we get a palindrome (4897117984).

The spelling of 1100107973 in words is "one billion, one hundred million, one hundred seven thousand, nine hundred seventy-three".