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10016100041 is a prime number
BaseRepresentation
bin10010101010000000…
…11000111011001001
3221212001001121020012
421111000120323021
5131003110200131
64333515441305
7503131305563
oct112500307311
927761047205
1010016100041
11427a911232
121b36456235
13c3813671c
146b0354333
153d94dd52b
hex255018ec9

10016100041 has 2 divisors, whose sum is σ = 10016100042. Its totient is φ = 10016100040.

The previous prime is 10016100019. The next prime is 10016100067. The reversal of 10016100041 is 14000161001.

10016100041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5332066441 + 4684033600 = 73021^2 + 68440^2 .

It is a cyclic number.

It is not a de Polignac number, because 10016100041 - 226 = 9948991177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10016099989 and 10016100025.

It is not a weakly prime, because it can be changed into another prime (10016100091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008050020 + 5008050021.

It is an arithmetic number, because the mean of its divisors is an integer number (5008050021).

Almost surely, 210016100041 is an apocalyptic number.

It is an amenable number.

10016100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10016100041 is an equidigital number, since it uses as much as digits as its factorization.

10016100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10016100041 its reverse (14000161001), we get a palindrome (24016261042).

The spelling of 10016100041 in words is "ten billion, sixteen million, one hundred thousand, forty-one".