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100244443381 is a prime number
BaseRepresentation
bin101110101011100001…
…0001101000011110101
3100120202012121100112021
41131113002031003311
53120300034142011
6114015054153141
710146102465265
oct1352702150365
9316665540467
10100244443381
1139571414025
12175177b27b1
1395b7357bb4
144bcd6d17a5
15291a922471
hex175708d0f5

100244443381 has 2 divisors, whose sum is σ = 100244443382. Its totient is φ = 100244443380.

The previous prime is 100244443379. The next prime is 100244443421. The reversal of 100244443381 is 183344442001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97677501156 + 2566942225 = 312534^2 + 50665^2 .

It is a cyclic number.

It is not a de Polignac number, because 100244443381 - 21 = 100244443379 is a prime.

It is a super-2 number, since 2×1002444433812 (a number of 23 digits) contains 22 as substring.

Together with 100244443379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100244443301) 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, 50122221690 + 50122221691.

It is an arithmetic number, because the mean of its divisors is an integer number (50122221691).

Almost surely, 2100244443381 is an apocalyptic number.

It is an amenable number.

100244443381 is a deficient number, since it is larger than the sum of its proper divisors (1).

100244443381 is an equidigital number, since it uses as much as digits as its factorization.

100244443381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 100244443381 its reverse (183344442001), we get a palindrome (283588885382).

The spelling of 100244443381 in words is "one hundred billion, two hundred forty-four million, four hundred forty-three thousand, three hundred eighty-one".