Search a number
-
+
10101001100149 is a prime number
BaseRepresentation
bin1001001011111101001010…
…0101010001101101110101
31022202122110010121202022101
42102333102211101231311
52310443322240201044
633252200313102101
72061526136465161
oct222772245215565
938678403552271
1010101001100149
1132448a0874513
1211717849b7931
1358369c19bacb
1426cc69105ca1
15127b3bec9cd4
hex92fd2951b75

10101001100149 has 2 divisors, whose sum is σ = 10101001100150. Its totient is φ = 10101001100148.

The previous prime is 10101001100111. The next prime is 10101001100167. The reversal of 10101001100149 is 94100110010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9797256823249 + 303744276900 = 3130057^2 + 551130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101001100149 is a prime.

It is a super-2 number, since 2×101010011001492 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101001100249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500550074 + 5050500550075.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500550075).

Almost surely, 210101001100149 is an apocalyptic number.

It is an amenable number.

10101001100149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001100149 is an equidigital number, since it uses as much as digits as its factorization.

10101001100149 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 10101001100149 in words is "ten trillion, one hundred one billion, one million, one hundred thousand, one hundred forty-nine".