Search a number
-
+
101001010001149 is a prime number
BaseRepresentation
bin10110111101110000100001…
…010100101011010011111101
3111020121121021001020022212201
4112331300201110223103331
5101214300032030014044
6554451120133031501
730163040116565116
oct2675604124532375
9436547231208781
10101001010001149
112a200319066965
12b3b2809a85591
13444847b740bab
141ad269144b20d
15ba2404a407d4
hex5bdc2152b4fd

101001010001149 has 2 divisors, whose sum is σ = 101001010001150. Its totient is φ = 101001010001148.

The previous prime is 101001010001081. The next prime is 101001010001233. The reversal of 101001010001149 is 941100010100101.

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., 97970997880900 + 3030012120249 = 9898030^2 + 1740693^2 .

It is an emirp because it is prime and its reverse (941100010100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001010001149 - 211 = 101001009999101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001010101149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505000574 + 50500505000575.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505000575).

Almost surely, 2101001010001149 is an apocalyptic number.

It is an amenable number.

101001010001149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010001149 is an equidigital number, since it uses as much as digits as its factorization.

101001010001149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101001010001149 in words is "one hundred one trillion, one billion, ten million, one thousand, one hundred forty-nine".