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100101110953 is a prime number
BaseRepresentation
bin101110100111001111…
…1011011110010101001
3100120101012220022101211
41131032133123302221
53120001341022303
6113552534113121
710142412255424
oct1351637336251
9316335808354
10100101110953
11394a8516278
12174977ab7a1
139593751acc
144bb86609bb
15290d05d66d
hex174e7dbca9

100101110953 has 2 divisors, whose sum is σ = 100101110954. Its totient is φ = 100101110952.

The previous prime is 100101110927. The next prime is 100101111001. The reversal of 100101110953 is 359011101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59657085504 + 40444025449 = 244248^2 + 201107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100101110953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101510953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555476 + 50050555477.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555477).

Almost surely, 2100101110953 is an apocalyptic number.

It is an amenable number.

100101110953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101110953 is an equidigital number, since it uses as much as digits as its factorization.

100101110953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 22.

Adding to 100101110953 its reverse (359011101001), we get a palindrome (459112211954).

The spelling of 100101110953 in words is "one hundred billion, one hundred one million, one hundred ten thousand, nine hundred fifty-three".