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100032031241 is a prime number
BaseRepresentation
bin101110100101001011…
…1111010101000001001
3100120012101220200211222
41131022113322220021
53114331144444431
6113542025331425
710140613144022
oct1351227725011
9316171820758
10100032031241
11394725236aa
1217478636b75
13958234613c
144bad3dbc49
152906e6557b
hex174a5faa09

100032031241 has 2 divisors, whose sum is σ = 100032031242. Its totient is φ = 100032031240.

The previous prime is 100032031219. The next prime is 100032031243. The reversal of 100032031241 is 142130230001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97950846841 + 2081184400 = 312971^2 + 45620^2 .

It is a cyclic number.

It is not a de Polignac number, because 100032031241 - 214 = 100032014857 is a prime.

Together with 100032031243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100032031243) 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, 50016015620 + 50016015621.

It is an arithmetic number, because the mean of its divisors is an integer number (50016015621).

Almost surely, 2100032031241 is an apocalyptic number.

It is an amenable number.

100032031241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100032031241 is an equidigital number, since it uses as much as digits as its factorization.

100032031241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100032031241 its reverse (142130230001), we get a palindrome (242162261242).

The spelling of 100032031241 in words is "one hundred billion, thirty-two million, thirty-one thousand, two hundred forty-one".