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100344041741 is a prime number
BaseRepresentation
bin101110101110011111…
…0001001000100001101
3100121000011000110210102
41131130332021010031
53121001033313431
6114033013020445
710151422165436
oct1353476110415
9317004013712
10100344041741
1139612660819
1217545024725
139601b8a938
144bdca1a48d
152924547dcb
hex175cf8910d

100344041741 has 2 divisors, whose sum is σ = 100344041742. Its totient is φ = 100344041740.

The previous prime is 100344041737. The next prime is 100344041803. The reversal of 100344041741 is 147140443001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86879920516 + 13464121225 = 294754^2 + 116035^2 .

It is a cyclic number.

It is not a de Polignac number, because 100344041741 - 22 = 100344041737 is a prime.

It is a super-2 number, since 2×1003440417412 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100344041731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50172020870 + 50172020871.

It is an arithmetic number, because the mean of its divisors is an integer number (50172020871).

Almost surely, 2100344041741 is an apocalyptic number.

It is an amenable number.

100344041741 is a deficient number, since it is larger than the sum of its proper divisors (1).

100344041741 is an equidigital number, since it uses as much as digits as its factorization.

100344041741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 100344041741 its reverse (147140443001), we get a palindrome (247484484742).

The spelling of 100344041741 in words is "one hundred billion, three hundred forty-four million, forty-one thousand, seven hundred forty-one".