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100749108149 is a prime number
BaseRepresentation
bin101110111010100011…
…1010110001110110101
3100122001101012222102222
41131311013112032311
53122313232430044
6114141123012125
710164441201164
oct1356507261665
9318041188388
10100749108149
1139800277148
121763880a045
139667a842c1
144c3a73d3db
152949dac8ee
hex17751d63b5

100749108149 has 2 divisors, whose sum is σ = 100749108150. Its totient is φ = 100749108148.

The previous prime is 100749107983. The next prime is 100749108203. The reversal of 100749108149 is 941801947001.

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., 100749108100 + 49 = 317410^2 + 7^2 .

It is an emirp because it is prime and its reverse (941801947001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100749108149 - 228 = 100480672693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100749108949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50374554074 + 50374554075.

It is an arithmetic number, because the mean of its divisors is an integer number (50374554075).

Almost surely, 2100749108149 is an apocalyptic number.

It is an amenable number.

100749108149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100749108149 is an equidigital number, since it uses as much as digits as its factorization.

100749108149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 44.

It can be divided in two parts, 1007491081 and 49, that multiplied together give a square (49367062969 = 2221872).

The spelling of 100749108149 in words is "one hundred billion, seven hundred forty-nine million, one hundred eight thousand, one hundred forty-nine".