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10001100149 is a prime number
BaseRepresentation
bin10010101000001110…
…01010110101110101
3221210222211112020122
421110013022311311
5130440240201044
64332222141325
7502556643245
oct112407126565
927728745218
1010001100149
1142723a6627
121b31421845
13c34cb4151
146ac36bb25
153d8028dee
hex2541cad75

10001100149 has 2 divisors, whose sum is σ = 10001100150. Its totient is φ = 10001100148.

The previous prime is 10001100113. The next prime is 10001100163. The reversal of 10001100149 is 94100110001.

10001100149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8756280625 + 1244819524 = 93575^2 + 35282^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100149 - 228 = 9732664693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001100199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550074 + 5000550075.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550075).

Almost surely, 210001100149 is an apocalyptic number.

It is an amenable number.

10001100149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100149 is an equidigital number, since it uses as much as digits as its factorization.

10001100149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10001100149 in words is "ten billion, one million, one hundred thousand, one hundred forty-nine".