Search a number
-
+
100010100101111 is a prime number
BaseRepresentation
bin10110101111010101101010…
…011111011000111111110111
3111010002212112211102211022122
4112233111222133120333313
5101102031141111213421
6552412001122550155
730031330340450204
oct2657255237307767
9433085484384278
10100010100101111
1129959055281682
12b27276420835b
1343a5bb17b0c35
141a9a72c390cab
15b8675b3522ab
hex5af56a7d8ff7

100010100101111 has 2 divisors, whose sum is σ = 100010100101112. Its totient is φ = 100010100101110.

The previous prime is 100010100101081. The next prime is 100010100101123. The reversal of 100010100101111 is 111101001010001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100010100101111 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010100101911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050050555 + 50005050050556.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050050556).

Almost surely, 2100010100101111 is an apocalyptic number.

100010100101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100101111 is an equidigital number, since it uses as much as digits as its factorization.

100010100101111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100010100101111 its reverse (111101001010001), we get a palindrome (211111101111112).

The spelling of 100010100101111 in words is "one hundred trillion, ten billion, one hundred million, one hundred one thousand, one hundred eleven".