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10100000111 is a prime number
BaseRepresentation
bin10010110100000000…
…11100010101101111
3222001212221011111012
421122000130111233
5131141100000421
64350114015435
7505200404315
oct113200342557
928055834435
1010100000111
114313206633
121b5a57757b
13c4c631036
146bb5540b5
153e1a6295b
hex25a01c56f

10100000111 has 2 divisors, whose sum is σ = 10100000112. Its totient is φ = 10100000110.

The previous prime is 10100000087. The next prime is 10100000129. The reversal of 10100000111 is 11100000101.

It is a strong prime.

It is an emirp because it is prime and its reverse (11100000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000111 - 210 = 10099999087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100000095 and 10100000104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000055 + 5050000056.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000056).

Almost surely, 210100000111 is an apocalyptic number.

10100000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000111 is an equidigital number, since it uses as much as digits as its factorization.

10100000111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100000111 its reverse (11100000101), we get a palindrome (21200000212).

The spelling of 10100000111 in words is "ten billion, one hundred million, one hundred eleven", and thus it is an aban number.