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10100010113 is a prime number
BaseRepresentation
bin10010110100000000…
…11110110010000001
3222001212221200012122
421122000132302001
5131141100310423
64350114134025
7505200445424
oct113200366201
928055850178
1010100010113
1143132130a6
121b5a581315
13c4c63575b
146bb5579bb
153e1a658c8
hex25a01ec81

10100010113 has 2 divisors, whose sum is σ = 10100010114. Its totient is φ = 10100010112.

The previous prime is 10100010071. The next prime is 10100010121. The reversal of 10100010113 is 31101000101.

It is an a-pointer prime, because the next prime (10100010121) can be obtained adding 10100010113 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9853143169 + 246866944 = 99263^2 + 15712^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010113 - 216 = 10099944577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100010113.

It is not a weakly prime, because it can be changed into another prime (10100010133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005056 + 5050005057.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005057).

Almost surely, 210100010113 is an apocalyptic number.

It is an amenable number.

10100010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010113 is an equidigital number, since it uses as much as digits as its factorization.

10100010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100010113 its reverse (31101000101), we get a palindrome (41201010214).

The spelling of 10100010113 in words is "ten billion, one hundred million, ten thousand, one hundred thirteen".